Let and are two unit vectors such that and are perpendicular. What is the angle between and ?

Question

Question

This question was previously asked in

NDA 02/2022 Mathematics Official Paper (Held On 04 Sep 2022)

Answer 1

Concept:

Calculation:

Given: and are two unit vectors such that and are perpendicular.

As and are two unit vectors

⇒ ___(ii)

And and are perpendicular

⇒ ().() = 0

⇒ = 0

⇒ = 0 {from (i)}

⇒ = 0 {from (ii)}

⇒ __(iii)

Now angle between and is given by,

⇒ (from (ii) and (iii))

⇒ θ =

∴ The correct option is (3).

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