Question

Two vectors are of identical magnitude have their dot product as 32 and both are of magnitude 4 then they are inclined at an angle of—.
(A) 60°
(B)π/3
(C) cos-1(2)
(D)no such vectors exist​

Answer 1

Answer:

c) this is the answer

hope this will help you

Answer 2

Question :

Two vectors are of identical magnitude have their dot product as 32 and both are of magnitude 4 then they are inclined at an angle of—.

(A) 60°

(B)π/3

(C) cos-1(2)

(D)no such vectors exist

Formula :

Cross product of two vectors $\tt \bar{a} \:and\: \bar{b}$

$\tt \bar{a}.\bar{b} = |\bar{a}||\bar{b}|cos\theta$

Where $\tt \theta$ : angle between two vectors.

Solution :

Let the two vectors be $\tt \bar{a} \:and \: \bar{b}$

$\tt \bar{a}.\bar{b} = 32$

$\tt |\bar{a}| = |\bar{b}| = 4$

$\tt \bar{a}.\bar{b} = |\bar{a}||\bar{b}|cos\theta$

$\tt \implies$ 32 = (4)(4)cos$\theta$

$\tt \implies$ 32 = 16cos$\theta$

$\tt \implies$ cos$\theta$ = 2

Since cosine function lies between [-1,1]

No such vectors are possible .

Option :

The correct option is option(D).