Question

what is the vector component of b in the direction of vector a​

Answer 1

$\huge{ \underline{ \bold{ᴀɴsᴡᴇʀ....{ \heartsuit}}}}$

➺The vector projection of b onto a is the vector with this length that begins at the point A points in the same direction (or opposite direction if the scalar projection is negative) as a. This quantity is also called the component of b in the a direction (hence the notation comp).

Answer 2

$\huge\boxed{\red{\rm solution:-}}$

let there be 2 vectors a and b and the angle between the vectors be A.

the components of vector b would be

• perpendicular to vector a
• along vector a

we want the magnitude of the vector along vector a and the angle between them is A.

applying component of vectors,

bcos(A)=vector along a

where b is the magnitude and A is the angle between the vectors.

so,

$\boxed{\tt bcos(A) }$ is the expression.