Question

Given that A+B=Ĉ and that Ĉ is perpendicular to A.
Further if |Ā=1C1, then what is the angle between A and
B?

(1) 3.14/4 radian

(2) 3.14/2 radian





(3)3×3.14/4 radian

(4) 3.14 radian
3.14 is value of pi ​

Answer 1

Answer:

(3) 3×3.14/4 radian is the answer

Given, A+B=C

and B=C−A

Since, C⊥A, therefore

B

2

=C

2

+A

2

Also, ∣C∣=∣A∣, therefore

B

2

=2A

2

⇒B=

2

A

Now, A

2

+B

2

+2ABcosθ=C

2

=A

2

∴cosθ=

2

1

This gives θ=

4

3π

rad