Elective Mathematics

Question 1

1Find |a| if a = (−1, 2), to 2 decimal places.

Easy

A. 3 B. 1.41 C. 5 D. 2.24

Question 2

2The zero vector has magnitude 0.

Easy

A. True B. False

Question 3

3A scalar multiple of a vector is parallel to it.

Easy

A. True B. False

Question 4

4The scalar (dot) product of a = (a₁, a₂) and b = (b₁, b₂) is

Easy

A. a₁ + b₁ B. a₁b₂ − a₂b₁ C. a₁b₁ + a₂b₂ D. |a||b|

Question 5

5Find a·b if a = (−5, 0) and b = (−1, 5).

Easy

A. −25 B. 6 C. 5 D. −1

Question 6

6Find |a| if a = (4, 3), to 2 decimal places.

Easy

A. 25 B. 3.46 C. 5 D. 7

Question 7

7A unit vector in the direction of a is

Easy

A. a × |a| B. a/2 C. |a| D. a/|a|

Question 8

8(2, 1)·(1, 3) = ___

Easy

Your answer (fill in the blank)

Question 9

9The dot product a·b equals

Easy

A. |a|/|b| B. |a| + |b| C. |a||b| sin θ D. |a||b| cos θ

Question 10

10The dot product of two vectors is a vector.

Easy

A. True B. False