JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

48
JEE 2021: VECTORS JEE Past Year Questions JEE 2021: VECTORS JEE Past Year Questions

Transcript of JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

Page 1: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

JEE 2021: VECTORS JEE Past Year Questions

Page 2: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Is my ARMY Ready ?

Page 3: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Page 4: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

₹7,200/-

₹20,400/-

₹40,800/-

NAGPRO

20%

*Link available in description

Batch Starts From : 12 Oct 2020

Page 5: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Q1. Let be three unit vectors such that

is equal to

Jee Mains 2nd Sep I 2020

Page 6: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Solution

Page 7: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Q2. Let the position vectors of points ‘A’ and ‘B’ be respectively. A point ‘P’ divides the line Segment AB internally in the ratio λ : 1 (λ >0). If O is the origin and , then λ is equal to

Jee Mains 2nd Sep I - 2020

Page 8: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Solution

Page 9: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Q3. Let a, b, c ∈ R be such that a2 + b2 + c2 = 1. If acosθ = bcos , where then the angle between the vectors

is:

A

B

C

0

D

Jee Mains 3rd Sep II 2020

Page 10: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Solution

Page 11: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

A

B

C

Q4. Let x0 be the point of local maxima of where

Then the

value of

D

-22

14

-4

-30

Jee Mains 4th Sep I 2020

Page 12: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Solution

Page 13: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Q5. If then the value of is equal to

Jee Mains 4th Sep II 2020

Page 14: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Solution

Page 15: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Q6. If the volume of a parallelepiped, whose conterminous edges are given by the vectors

A

B

D

C

A

B

D

C

D

Jee Mains 5th Sep I 2020n = 7

n = 9

Page 16: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Solution

Page 17: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Q6. If the volume of a parallelepiped, whose conterminous edges are given by the vectors

A

B

D

C

A

B

D

C

D

n = 7

n = 9

Jee Mains 5th Sep I 2020

Page 18: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

Live Interactive Classes● LIVE & Interactive Teaching Style

● Fun Visualizations, Quizzes &

Leaderboards

● Daily Classes on patented WAVE platform

● Dual Teacher Model For Personal

Attention

Why Vedantu Pro is the Best?Test Series & Analysis

● Exclusive Tests To Enable Practical Application

● Mock & Subject Wise Tests, Previous Year Tests

● Result Analysis To Ensure Thorough Preparation

Assignments & Notes

● Regular Assignments To Ensure Progress

● Replays, Class Notes & Study Materials Available 24*7

● Important Textbook Solutions

Page 19: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

● Full syllabus Structured Long Term Course

● 20+ Teachers with 5+ years of experience

● Tests & Assignments with 10,000+ questions

● Option to Learn in English or Hindi

● LIVE chapter wise course for revision

● 4000+ Hours of LIVE Online Teaching

● Crash Course and Test Series before Exam

What is Included in Vedantu Pro?

Page 20: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

(7,500)@ ₹6000/Month

(21,000)@ ₹5,600/Month

(39,000)@ ₹5,200/Month

20% *JEE Pro Subscription Link available in description

Apply Coupon Code: NAGPRO

Page 21: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

How to Avail The Vedantu Pro Subscription

*Vedantu Pro Subscription Link available in description

Use the code: NAGPRO

1Select Your

Grade & Target

Click on Get Subscription

2 3Apply Coupon Code and Make Payment

Choose Your Subscription & Click on Proceed To Pay

4

Page 22: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Q7. Let the vectors be such that

If the projection of is equal to the projection of

is perpendicular to , then the value of is ………

Jee Mains 5th Sep II - 2020

Page 23: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Solution

Page 24: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Q8. If are unit vectors, then the greatest value of is:

Jee Mains 6th Sep I - 2020

Page 25: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Solution

Page 26: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Jee Mains 6th Sep II 2020

Q9. If x and y be two non-zero vectors such that |x + y| = |x| and

2x +λ y is perpendicular to y , then the value of λ is…….

Page 27: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Solution

Page 28: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Q10. If are unit vectors such that

then =

A

B

D

C

A

B

D

C

D

Jee Mains 7th Jan I 2020

Page 29: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Solution

Page 30: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Q11. Let the volume of a parallelepiped whose coterminous edges are given by be 1 cu. unit. If be the angle between the edges then cos can be

A

B

D

C

A

B

D

C

D

Jee Mains 8th Jan I 2020

Page 31: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Solution

Page 32: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Q11. Let the volume of a parallelepiped whose coterminous edges are given by be 1 cu. unit. If be the angle between the edges then cos can be

A

B

D

C

A

B

D

C

D

Jee Mains 8th Jan I 2020

Page 33: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Q12. Let be two vectors. If is a vector such that is equal to

A

B

D

C

A

B

D

C

D

Jee Mains 8th Jan II 2020

Page 34: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Solution

Page 35: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Q12. Let be two vectors. If is a vector such that is equal to

A

B

D

C

A

B

D

C

D

Jee Mains 8th Jan II 2020

Page 36: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Q13. If

and are coplanar vectors and then value

of λ is Jee Mains 9th Jan I 2020

Page 37: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Solution

Page 38: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Solution

Page 39: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Q14. The projection of the line segment joining the points (1, -1, 3) and (2, -4, 11) on the line joining the points (-1, 2, 3) and (3, -2, 10) is :

Jee Mains 9th Jan I 2020

Page 40: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Solution

Page 41: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Q15. A vector lies in the plane of the vectors, bisects the angle between then:

A

B

D

C

A

B

D

C

D

Jee Mains 7th Jan I 2020

HW

Page 42: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Page 43: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Page 44: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Page 45: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Thank You

Page 46: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Solution

Page 47: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Solution

Page 48: JEE 2021: VECTORS JEE Past Year Questions JEE 2021 ...

JEE 2021: VECTORS JEE Past Year Questions

Q15. A vector lies in the plane of the vectors, bisects the angle between then:

A

B

D

C

A

B

D

C

D

Jee Mains 7th Jan I 2020