Unit Vectors -Multiple Choice Questions Quiz

Question 1: What are unit vectors?

(a) Vectors with a magnitude of 1
(b) Vectors with a magnitude of 0
(c) Vectors with a magnitude greater than 1
(d) Vectors with a magnitude less than 1

Question 2: Which of the following is a unit vector in the x-direction?

(a) i
(b) j
(c) k
(d) -i

Question 3: What is the unit vector in the y-direction?

(a) i
(b) j
(c) k
(d) -j

Question 4: What is the unit vector in the z-direction?

(a) i
(b) j
(c) k
(d) -k

Question 5: If vector A = 3i + 4j, what is the unit vector in the direction of vector A?

(a) 3i + 4j
(b) 3/5 i + 4/5 j
(c) 3/25 i + 4/25 j
(d) 3/7 i + 4/7 j

Question 6: What is the magnitude of a unit vector?

(a) 0
(b) 1
(c) 2
(d) Depends on the direction

Question 7: Given two vectors A and B, what is the condition for them to be parallel?

(a) A = B
(b) A = -B
(c) A x B = 0
(d) A • B = 0

Question 8: Which of the following statements is true about the dot product of two perpendicular vectors?

(a) The dot product is zero.
(b) The dot product is one.
(c) The dot product is negative.
(d) The dot product is not defined for perpendicular vectors.

Question 9: Given vector C = 2i - 3j + 4k, what is the unit vector in the direction of C?

(a) (2/√29) i - (3/√29) j + (4/√29) k
(b) (2/√7) i - (3/√7) j + (4/√7) k
(c) (2/7) i - (3/7) j + (4/7) k
(d) (2/√6) i - (3/√6) j + (4/√6) k

Question 10: If vector D = -4i - 3j, what is the unit vector in the direction opposite to vector D?

(a) 4i + 3j
(b) -4i - 3j
(c) -4/5 i - 3/5 j
(d) -4/√25 i - 3/√25 j

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Total score: /10

Answer key:

Question 1: a

Question 2: a

Question 3: b

Question 4: c

Question 5: b

Question 6: b

Question 7: c

Question 8: a

Question 9: a

Question 10: c