Question

the unit vector parallel to the resultant of vectors a=4i+3j+6k and b=-i+3j-8k​

Answer 1

Answer:

(5i+6j-2k)÷√65

Step-by-step explanation:

First we have to find the resulting vector

Resulting vector =a+b

=(4i+3j+6k)+(i+3j-8k)

=5i+6j-2k

Unit vector =given vector ÷(its magnitude)

Magnitude=√x^2 +y^2 +z^2

Implies magnitude is√25+36+4

Which is√65

Therefore unit vector is (5i+6j-2k)÷√65