Question Detail

PHY 101 PHY 101 Past Questions Objective Question
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Question

If A = 2i + 3j, B = 3i + 5j, and C = 4i - 6j, find A × (B × C).

Options
A -114i - 76j
B 6i - 4j
C 114i + 76j
Correct Answer
D 6i + 4j
Correct Answer

Option C is the correct answer.

Detailed Explanation

Using the vector triple product identity A × (B × C) = B(A·C) − C(A·B). A·C = -10 and A·B = 21. So result = -10B − 21C = -10(3i+5j) − 21(4i−6j) = -114i + 76j.

Hint

Use the vector triple product expansion formula.

Question Info

Course: PHY 101
Topic: PHY 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 135 of 1250
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