Question Detail

PHY 101 PHY 101 Past Questions Objective Question
Take CBT

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, what is the magnitude of B and the angle it makes with the positive x-axis?
Options
A 29.70 unit, 82.6°
B 29.70 unit, 7.4°
C 2.45 unit, 82.6°
D 5.45 unit, 82.6°
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

Vector B = C - A = (2.2 - 1.5)i + (3.4 - (-2.0))j = 0.7i + 5.4j. Magnitude = sqrt(0.7^2 + 5.4^2) ≈ 5.45 units. Angle = arctan(5.4 / 0.7) ≈ 82.6° above the positive x-axis.

Hint

Subtract vector A from vector C to find B, then compute its magnitude and direction.

Question Info

Course: PHY 101
Topic: PHY 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 91 of 1250
Previous Course Details Next