Question

p bar equal to 2 i + 4j + 14 K and Q bar equal to 4i + 4j + 10k find the magnitude of p bar +Q bar?

Answer 1

Add the i, j and k separately

P+Q= 6i+8j+24k

Answer 2

The answer is 26.
P bar + Q bar = 6i +8j + 24k (simply add the Magnitude of unit vectors individually)

Now we take out the Magnitude of the above vector.
$\sqrt{ {6}^{2} + {8}^{2} + {24}^{2} }$
This equals
$\sqrt{100 + 576}$
$\sqrt{676}$
This equals 26