Find component of vector ⃗A along the direction of ⃗B i.e. A||B and in perp

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Find Component Of Vector ⃗A Along The Direction Of ⃗B I....

Find component of vector

⃗ A

along the direction of

⃗ B

i.e. A||B and in perpendicular direction of

⃗ B

that is

A_{⊥_{B}}

.

Options:

A . A||B = 3√3;A⊥B=3

B . A||B = 33;A⊥B=3√32

C . A||B = 32;A⊥B=12

D . A||B = 3√3;A⊥B=3√32

Answer: Option A
:
A

Find Component Of Vector ⃗A Along The Direction Of ⃗B I....

So, we need to resolve the vector A along the direction of B and perpendicular to it.

Find Component Of Vector ⃗A Along The Direction Of ⃗B I....

Angle between A & B is

30^{\circ}

So component along the direction B is using trigonometric ration

6 c o s 30^{\circ}

= compound of A along B =

3 \sqrt{3}

component of A perpendicular to B = 6

s i n 30^{\circ}

= 3

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