Free Printable Understanding, representing and using vectors

1.

a)

3i + 4j

b)

-4i - 3j

c)

-3i - 4j

d)

3i - 4j

2.

Resolve into components:

1000 m/s [193°]

a)

[ -974, -225 ]

b)

[ 974, 225 ]

c)

[ 225, 974 ]

d)

[ -225, -974 ]

3.

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS. Hint: get it into the pointy brackets.

a)

〈14,-13〉

b)

〈-14,13〉

c)

〈-40,-21〉

d)

〈40,-21〉

4.

Which is the correct math for converting this vector to component form?

a)

$<10\cos58\degree,10\sin58\degree>$

b)

$<10\cos238\degree,10\sin238\degree>$

c)

$<10\cos122\degree,10\sin122\degree>$

d)

$<10\cos\left(-58\degree\right),10\sin\left(-58\degree\right)>$

5.

Write in component form.

a)

〈0, 4〉

b)

〈8, 2〉

c)

〈2, 8〉

d)

〈0, 2〉

6.

กำหนดให้ u = 3i+5j และ AB= u ถ้าAมีพิกัด(1,-3)

ข้อใดเป็นพิกัดของฺ B

a)

(-4,-2)

b)

(-4,2)

c)

(4,-2)

d)

(4,2)

7.

Write the vector from B to A...

a)

AB

b)

- a

c)

a

8.

a)

1/2 p + 1/2 r

b)

1/2 p - 1/2 r

c)

1/2 r - 1/2 p

d)

p - 1/2 r

9.

Which of the following is the Component form of Vector AB if the initial point is A (3,5) and the terminal point is B ( 8, 7)

a)

(11,12)

b)

(-11,-12)

c)

(5, 2)

d)

(-5,-2)

10.

Determine the components of the vector with magnitude 10, 60 degrees from the positive x-axis.

a)

<5, 8.7>

b)

<8.7, 5>

c)

<59.1, 10.4>

d)

<10.4, 59.1>

11.

Vektor PQ adalah ... .

a)

b)

c)

d)

e)

12.

Given the initial and terminal points, write as a position vector (v in terms of i and j) and find its magnitude.

P₁= (2, -1), P₂ = (5, -3)

a)

v = 3i - 2j

b)

v = -3i + 2j

c)

v = -2i + 3j

d)

v = 2i - 3j

13.

Find $\overrightarrow{AB}$ given the above position vector

a)

b)

c)

d)

14.

What are the components of vector w?

a)

〈2,4〉

b)

〈2,-4〉

c)

〈4,-2〉

d)

〈-4,2〉

15.

Which of the following is the component form for a vector with initial point (-1, 5) and terminal point (6, 8)?

a)

<-3, -7>

b)

<3, -7>

c)

<-3, 7>

d)

<7, 3>

16.

Component Form

a)

<-3, -7>

b)

<3, -7>

c)

<-3, 7>

d)

<7, 3>

17.

a)

(1,-5)

b)

(5 , -3)

c)

(-3 , 5)

d)

(-5, 3)

18.

Jika koordinat titik A(-5,4,1) dan Vektor AB=(4 -2 5), Kordinat titik B adalah .... .

a)

(9, -6, 4)

b)

(9, 2, 6)

c)

(-9, 6, -4)

d)

(1, -2, -6)

e)

(-1, 2, 6)

19.

Given the above position vectors find $\overrightarrow{BC}$

a)

b)

c)

d)

20.

Which of the following shows the correct formula for the horizontal and vertical components of a vector?

a)

$<\left|u\right|\cos\theta,\left|u\right|\sin\theta>$

b)

$<\left|u\right|\sin\theta,\left|u\right|\cos\theta>$

Understanding, representing and using vectors

Total questions: 20

Worksheet time: 25mins

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