Question

can 2 vectors' resultant be calculated just by adding their i,j,k cap values if the angle is not given to us? if not, how to solve such questions?

Answer 1

No. Don’t add i, j and k

i, j and k are unit vectors along x, y and z-axis respectively. They’re perpendicular to each other

Suppose you have a vector 2i + 3j + 4k
Then, magntude of vector is √(2² + 3² + 4²) = √29

If you have two vectors
A = 2i + 2j + 2k
B = 3i + 3j + 3k

Sum of vectors is
A + B = 5i + 5j + 5k

Magnitude of resultant is
|A + B| = √(5² + 5² + 5²) = √75