Question

. Find the components of vector A = 2 i +3 j along
the directions of i + j and i- .​

Answer 1

Explanation:

The component along i+j direction is simply represented by A dot (i+j) and it gives only the magnitude so to find the direction we need to

find the unit vector along i+ j .

UNIT VECTOR IS (i+j)/|i+j| which i+j/√2

so required component is Magnitude into

direction which is A•(i+j) (i+j)/√2 which gives 5/√2(i+j)