Vectors (Basic)
Authored by Wu Yuen Yi
Mathematics
12th Grade
Used 3+ times
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8 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Answer explanation
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Answer explanation
3.
FILL IN THE BLANKS 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.
(a)
Answer explanation
If the 2 vectors are perpendicular to each other, their dot product will be zero.
4.
FILL IN THE BLANKS QUESTION
2 mins • 1 pt
Find the acute angle (to the nearest degree) between the vectors a = i - 2j + 3k and b = 2j - k.
(a)
Answer explanation
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
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
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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