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Mathematics (SNC) – 1st Year

Vectors in Space Quiz

Paper Type
Unit Quiz
Time Allowed
60 Minutes
Total Marks
40
Student Name
________________
Roll Number
________________

Unit #14: Vectors in Space

Q1. Choose the correct option.

Q2. Write down short answers of following questions.

Q3. Write detailed answers of the following questions. (Answer any 2) (2×5=10)

1. Right Triangle Verification

Show that the points P(4, -1, 2), Q(1, 3, -1) and R(-2, 4, 6) form a right triangle.

2. Trigonometric Identity

Prove that: sin(α – β) = sin α cos β – cos α sin β

3. Work Done Calculation

A particle is displaced from (1, 2, 3) to (4, -1, 2) under force F = 2i + 3j – k. Find the work done.