Question

If v 3i 4j k and v2 i j k determine the magnitude of v1+v2

Answer 1

The magnitude of v1+v2 will be 6.7 units

v1 = 3i + 4j + k

v2 = i+j+k

since vector addition follows the simple additive law

v1+v2  = 4 i+5j+2k

magnitude of v1+v2    = |v1+v2|

= $\sqrt{ 4^{2} +5^{2}+2^2$

= $\sqrt{45}$

= 6.7 units