Question

find the magnitude of vectorF =2i+3j+5k and also calculate the angles of vector makes with x-axis, y-axis and z-axis

Answer 1

The magnitude of vector is equal to

$a=\sqrt{4+9+25}=6.2$

the angles of vector makes with x-axis

$\cos{\frac{2}{6.2}}=0.3226$

Angle with x-axis is equal to 70°

the angles of vector makes with y-axis

$\cos{\frac{3}{6.2}}=0.4823$

Angle with y-axis is equal to 60°

the angles of vector makes with z-axis

$\cos{\frac{5}{6.2}}=0.8064$

Angle with z-axis is equal to 35°