Core Mathematics

Question 1

1A unit vector has magnitude

Easy

A. 1 B. 0 C. any value D. 2

Question 2

2The magnitude of the vector (6, 8) is ___.

Easy

Your answer (fill in the blank)

Question 3

3a + b = b + a for vectors.

Easy

A. True B. False

Question 4

4If A = (2, −4) and B = (5, 1), find the vector AB.

Medium

A. (7, −3) B. (−3, −5) C. (3, 5) D. (5, 1)

Question 5

5The magnitude of the vector (8, 15) is ___.

Easy

Your answer (fill in the blank)

Question 6

6Vectors a and b are parallel if

Medium

A. they have the same magnitude B. they are perpendicular C. a + b = 0 always D. a = kb for some scalar k

Question 7

7If a = (2, 4) and b = (−4, 2), find 2a − 2b.

Medium

A. (−4, 12) B. (8, 6) C. (6, 2) D. (12, 4)

Question 8

8If a = (5, 2), then 3a =

Easy

A. (5, 6) B. (15, 2) C. (8, 5) D. (15, 6)

Question 9

9Multiplying a vector by −1 doubles its length.

Easy

A. True B. False

Question 10

10The magnitude of the vector (7, 24) is ___.

Easy

Your answer (fill in the blank)