Question

A vector, 14 units from the origin, along the X axis, is added to vector 16 units from the origin along the Z axis. What is the resultant vector?

(a) 3î + 8\(\hat{z}\)

(b) 14î + 16\(\hat{z}\)

(c) 16î + 14\(\hat{z}\)

(d) 2î + 7\(\hat{z}\)

The question was asked in quiz.

My enquiry is from Vector Addition in division Motion in a Plane of Physics – Class 11

Answer 1

Right option is (b) 14î + 16\(\hat{z}\)

Explanation: The vector 14 units from the origin and along X axis is 14î. The vector 16 units from the origin and along Y axis is 16\(\hat{z}\). Hence the sum is 14î + 16\(\hat{z}\).