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Adding vectors

Total questions: 16

Worksheet time: 26mins

Name
Class
Date
1.
If vectors X and Y are added, then the resultant would be best represented by vector _____. 
a)
A
b)
B
c)
C
d)
D
2.
What are the components of this vector?
a)
South and East
b)
South and West
c)
North and East
d)
North and West
3.
How do you combine vectors if they are in opposite directions?
a)
Add
b)
Subtract
c)
Pythagorean Theorem
d)
Use trigonometry
4.

Two vectors that have the same magnitude and direction

a)

Parallel vectors

b)

Equivalent vectors

c)

Opposite vectors

5.

Two vectors that have the same magnitude but opposite direction

a)

Parallel vectors

b)

Equivalent vectors

c)

Opposite vectors

6.

A way of finding the resultant vector by lining up the vectors tail-to-tail.

a)

Triangle method

b)

Circle method

c)

Rectangular method

d)

Parallelogram method

7.

The result of adding two opposite vectors; the magnitude is zero and there is no direction.

a)

Zero vector

b)

Resultant

c)

Component

d)

Magnitude

8.
If w = <2, -5> and y = <2, 0>, find 2w + y.
a)
<-10, 2>
b)
<4, -5>
c)
<-6, 10>
d)
<6, -10>
9.
If y = <2, 0> and
z = <-1, -4>, find 3y - 2z.
a)
<5, -8>
b)
<4, 8>
c)
<8, 8>
d)
<-8, -8>
10.

Find the resultant vector.

a)

<-10, 10>

b)

<10, -10>

c)

<15, 25>

d)

<25, 15>

11.

Find the resultant vector.

a)

<-7, -1>

b)

<5, 3>

c)

<1, -9>

d)

<8, 11>

12.

El cuadrilátero ABCD es un rombo, y M, N, P, y Q, los puntos medios de sus lados.


Indica cuáles de los siguientes pares de vectores tienen el mismo módulo:

a)

AB\overrightarrow{AB} y CD\overrightarrow{CD}

b)

BN\overrightarrow{BN} y AQ\overrightarrow{AQ}

c)

NC y CP\overrightarrow{NC}\ y\ \overrightarrow{CP}

d)

AM y DC\overrightarrow{AM}\ y\ \overrightarrow{DC}

13.

Observa la figura y señala qué afirmaciones son ciertas:

a)

 OC = OA\overrightarrow{OC}\ =\ -\overrightarrow{OA}  

b)

  AQ = 2CB\overrightarrow{AQ}\ =\ -2\overrightarrow{CB} 

c)

 AB = 2AO\overrightarrow{AB}\ =\ 2\overrightarrow{AO}  

14.

 TU+US=\overrightarrow{TU}+\overrightarrow{US}=  

a)

 TS\overrightarrow{TS}  

b)

 ST\overrightarrow{ST}  

c)

 VS\overrightarrow{VS}  

d)

 SV\overrightarrow{SV}  

15.

K+G=F

a)

True

b)

False

16.

H-C=G-F

a)

True

b)

False