Question

22. In vector diagram shown in figure where (R) is the
resultant of vectors (A) and (B).
If R = To, then value of angle o is :
(1) 30°
(2) 45°
(3) 60°
(4) 750​

Answer 1

Given that,

R = \dfrac{B}{\sqrt{2}}R=

2

B

The resultant vector is

R = \dfrac{B}{\sqrt{2}}R=

2

B

\dfrac{R}{B}=\dfrac{1}{\sqrt{2}}

B

R

=

2

1

According to figure,

Base = A

Perpendicular = R

Hypotenuses = B

Sin\theta = \dfrac{perpendicular}{Hypotenuses}Sinθ=

Hypotenuses

perpendicular

sin\theta=\dfrac{R}{B}sinθ=

B

R

sin\theta=\dfrac{1}{\sqrt{2}}sinθ=

2

1

\theta=sin^{-1}\dfrac{1}{\sqrt{2}}θ=sin

−1

2

1

\theta= 45^{\circ}θ=45

∘

Hence, The value of the angle is 45°.