Free Printable Vectors - Classroom Assessment

1.

The diagram shows a parallelogram ABCD such that BED is a straight line. Given that $\overrightarrow{AB}=6p,\ \overrightarrow{AD}=4q,\ and\ DE=2EB,$ express $\overrightarrow{EC}\$ in terms of p and q.

a)

$10p-\frac{8}{3}q$

b)

$-10p+4q$

c)

$4p-10q$

d)

$2p+\frac{8}{3}q$

2.

The diagram shows a triangle OAB, such that $\overrightarrow{OA}=7a.\ \ \overrightarrow{OB}=7b$ , and BX : XA = 3 : 4. Find the vector of $\overrightarrow{OX}\$ in terms of a and b.

a)

$3a+4b$

b)

$4a+3b$

c)

$11a-4b$

d)

$4b-11a$

3.

The diagram shows the location of Haziq's house and his school on a Cartesian plane.

It is given that the shortest distance of Haziq's house from x-axis is 4 km and the vector from Haziq's house to his school is 8i + 15j.

Find the location of the school and the distance of the school from Haziq's house

a)

(11, 11), 12.08 km

b)

(11, 19), 17 km

c)

(5, 11), 12.08 km

d)

(5, 19), 17 km

4.

Given that a = 2i - 4j, b = 3i - 4j, and c = 11i + kj. If a + 3b is parallel to c, find the value of k.

a)

-16

b)

11

c)

16

d)

-11

5.

a)

(3, 4)

b)

(-3, -4)

c)

(3, -4)

d)

(-3, 4)

6.

a)

16, -16

b)

25, -25

c)

4, -4

d)

9, -9

Vectors - Classroom Assessment

Total questions: 6

Worksheet time: 3600secs

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