Vectors (Basic)

Vectors (Basic)

12th Grade

8 Qs

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Vectors (Basic)

Vectors (Basic)

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

Created by

Wu Yuen Yi

Used 3+ times

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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Answer explanation

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2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Answer explanation

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3.

FILL IN THE BLANK QUESTION

45 sec • 1 pt

Determine the value of t for which the vectors a = i + tj + 2k and b = 2i - 3j - 4k are perpendicular.

Answer explanation

Media Image

If the 2 vectors are perpendicular to each other, their dot product will be zero.

4.

FILL IN THE BLANK QUESTION

2 mins • 1 pt


Find the acute angle (to the nearest degree) between the vectors a = i - 2j + 3k and b = 2j - k.

Answer explanation

Media Image

Since the question is asking for acute angle, we will need to take modulus of the dot product.

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the length of projection of the vector a = i - 2j + 3k onto the vector b = 2j - k.

Answer explanation

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6.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

The vector(s) perpendicular to both vectors a = i - k and b = 2i - j + k is

-i - 3j - k

i - j + 2k

j + k

i + 3j + k

Answer explanation

Media Image

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A parallelogram ABCD has the vertices at points A (1, 0, 1), B (0, 1, 0) and C (-1, 0, 1). Find the area of the parallelogram ABCD.

Answer explanation

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