﻿ IIT - JEE Main Important Questions of Vector Algebra | Zigya

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# Vector Algebra

#### Multiple Choice Questions

1.

If  are non -coplanar vector λ is a real number then

• exactly one value of λ

• no value of λ

• exactly three values of λ

• exactly two values of λ

B.

no value of λ

261 Views

2.

Let  be three non-zero vectors such that no two of these are collinear. If the vector  is collinear with is collinear with  (λ being some non-zero scalar) then  equals

• λ

• λ

• λ

• 0

D.

0

147 Views

3.

A particle is acted upon by constant forces  which displace it from a point  The work done in standard units by the forces is given by

• 40

• 30

• 25

• 15

A.

40

116 Views

4.

Let  be non-zero vectors such that  If θ is the acute angle between the vectors  then sin θ equals

• 1/3

• 2/3

D.

118 Views

5.

ABC is a triangle. Forces  acting along IA, IB and IC respectively are in equilibrium, where I is incentre of ∆ABC. Then P : Q : R is

• sin A : sin B : sin C

• cosA : cosB : cosC

C.

Using Lami’s Theorem

201 Views

6.  are non-coplanar vectors and λ is a real number, then the vectors  are non-coplanar for
• all values of λ

• all except one value of λ

• all except two values of λ

• no value of λ

C.

all except two values of λ

Condition for given three vectors to be coplanar is  =0
⇒ λ = 0, 1/2.
Hence given vectors will be non coplanar for all real values of λ except 0, 1/2.

141 Views

7.

If C is the mid -point of AB and P is any point outside AB, then

A.

129 Views

8.

For any vector   the value of  is equal to

C.

119 Views

9.

Let a, b and c be distinct non-negative numbers. If the vectors

• the Geometric Mean of a and b

• the Arithmetic Mean of a and b

• equal to zero

• the Harmonic Mean of a and b

A.

the Geometric Mean of a and b

117 Views

10.

Let  be such that  If the projection   is equal to that of  are perpendicular to each other then  equals

• 2

• 12

B.

118 Views