Free Printable Vectors

1.

Vector is a quantity with:

a)

magnitude and direction

b)

magnitude

c)

direction

d)

none of the above

2.

a)

a is the position vector of point A

b)

b is the direction vector of line L

c)

r is the position vector of all points in L, represented by P(x,y)

3.

a)

OB + BC = OC

b)

OA + AC = OC

c)

CB + B0 = -OC

d)

OD = 0.5(OA + AC)

4.

Vectors a, b, c are defined as:

a = 2i + 5j; b = i - 3j; c = -3i - j. Answer all correct answers

a)

a + b = 3i + 8j

b)

a - b = i + 8j

c)

a + c = -i + 4j

d)

c - b = -5i + 6j

5.

Vector a = 2i + 3j - 5k. What is the value of 3a?

a)

3i + 3j - 3k

b)

5i + 6j - 8k

c)

6i + 9j -15k

d)

6i + 6j - 15k

6.

Given points A(3, 2, -4) and B(2, 1, -1), so the vector AB is

a)

i + 3j -5k

b)

-i -3j +3k

c)

i -j -5k

d)

-i -j +3k

7.

Given the vector v = 3i -2j +6 k, the magnitude of v is:

a)

36

b)

49

c)

7

d)

6

8.

Given the line L: r = a + tb, where a = i+2j+3k and b= 2i -3j + k

a)

a line with direction vector 2i +4j + 6k is parallel to L

b)

a line with direction vector 4i -6j + 2k is parallel to L

c)

a line with direction vector 3i - j + 7k is parallel to L

9.

Given parallel vectors u and v. Answer ALL that apply

a)

their scalar product is zero

b)

their scalar product is either 1 or -1

c)

u is a multiple of v

d)

magnitude of u equals the magnitude of v

10.

The scalar product of u and v is zero, therefore...

a)

vectors u and v are parallel

b)

vectors u and v are perpendicular

c)

vectors u and v are equal

d)

vectors u and v are multiples

11.

Find a Cartesian equation of the plane containing the point $P\left(-4,2,-3\right)$ and the straight line
$\frac{x+2}{4}=\frac{y}{-3}=\frac{z+1}{5}$

a)

$-2x-y+z=3$

b)

$2x+y-z=-3$

c)

$2x-y-z=3$

d)

$2x+y+z=-3$

12.

P, Q and R are three points in space where $\overrightarrow{PQ}\ =<2,2,-1>$ and $\overrightarrow{PR}=<1,2,2>$ .
Find the area of the triangle PQR.

a)

5.53 $unit^2$

b)

3.04 $unit^2$

c)

3.55 $unit^2$

d)

4.03 $unit^2$

Vectors

Total questions: 12

Worksheet time: 15mins

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