Question

A = i+ 2j+ 4k and B = 5i Find component of A along B​

Answer 1

A = i+ 2j+ 4k and B = 5i Find component of A along B

Vectors and a coordinate system, Cartesian vectors

The length of projection of a in the direction of b or the scalar component ab, from the diagram, Thus, the scalar component of a vector a in the direction of a vector b equals the scalar product of the vector a and the unit vector b0 of the vector b.

Answer 2

Answer:

$clearly \: \\ component \: of \: a \: along \: b \: is \: \\ \frac{a.b}{ |b| } = \frac{(i + 2j + 4k).(5i)}{ \sqrt{25} } \\ = \frac{5}{5} \\ = 1$