Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

The resultant of two vectors A and B is vector C = 2.2 i + 3.4 j. If vector A = 1.5 i - 2.0 j, find the magnitude of B and the angle it makes with the positive x-axis.
Options
A 29.70 unit, 82.6°
Correct Answer
B 29.70 unit, 7.4°
C 24.5 unit, 82.6°
D 24.5 unit, 7.4°
Correct Answer

Option A is the correct answer.

Detailed Explanation

The magnitude of B is approximately 29.70 units, and the angle is 82.6° above the positive x-axis.

Hint

Find B = C - A, then calculate magnitude and direction using trigonometry.

Question Info