Question

Given that for two vectors and , × = ∙ . Find the acute angle between
and⃗. Given that for two vectors and , × = ∙ . Find the acute angle between
and⃗.

Answer 1

Explanation:

It is given that,

∣

a

∣=

3

,

∣

∣

∣

∣

b

∣

∣

∣

∣

=2 and,

a

⋅

b

=

6

Now, we know that

a

⋅

b

=∣

a

∣∣

b

∣cosθ

∴

6

=

3

×2×cosθ

⇒cosθ=

3

×2

6

⇒cosθ=

2

1

⇒θ=

4

π

Hence, the angle between the given vectors

a

and

b

is

4

π

.

Answer 2

Your answer is true