Question Detail

PHY 101 PHY 101 Past Questions Objective Question
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Question

The resultant of two vectors A and B is C = 2.2i + 3.4j. If A = 1.5i - 2.0j, find the magnitude of B and the angle it makes with the positive x-axis.
Options
A 5.45 units, 82.6°
Correct Answer
B 29.70 units, 7.4°
C 24.5 units, 82.6°
D 5.45 units, 7.4°
Correct Answer

Option A is the correct answer.

Detailed Explanation

B = C − A = (0.7i + 5.4j). |B| = √(0.7² + 5.4²) ≈ 5.45. Angle = tan⁻¹(5.4/0.7) ≈ 82.6°.

Hint

Subtract vectors first, then compute magnitude and direction.

Question Info

Course: PHY 101
Topic: PHY 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 143 of 1250
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