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Vectors
Written by Hassan Raza (Mathematics)
8 Class 12 Mathematics questions with answers and explanations.
Printable worksheet with answer key
All questions with answers
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The magnitude of the vector 3i + 4j is:
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Correct answer: 5
Square root of (9 + 16) = 5.
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The dot product of i and j is:
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Correct answer: 0
Perpendicular unit vectors have dot product 0.
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If a = (1, 2, 3) and b = (4, 5, 6), then a . b is:
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Correct answer: 32
4 + 10 + 18 = 32.
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i x j equals:
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Correct answer: k
i x j = k.
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Two vectors are perpendicular when their dot product is:
- 1 Their product of magnitudes
- 2 Negative
- 3 One
- 4 Zero
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Correct answer: Zero
A . B = A B cos 90 = 0.
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The unit vector in the direction of 3i + 4j is:
- 1 5i
- 2 (i + j) / 2
- 3 (3i + 4j) / 5
- 4 3i + 4j
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Correct answer: (3i + 4j) / 5
Divide by the magnitude 5.
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The magnitude of i + j + k is:
- 1 0
- 2 1
- 3 The square root of 3
- 4 3
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Correct answer: The square root of 3
Square root of (1 + 1 + 1).
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The cross product a x b is a vector:
- 1 Perpendicular to both a and b
- 2 Parallel to a
- 3 Parallel to b
- 4 Of zero length always
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Correct answer: Perpendicular to both a and b
Its direction follows the right hand rule.
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