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Worksheetsvector
Total questions: 46
Worksheet time: 35mins
Vector is a quantity with:
magnitude and direction
magnitude
direction
none of the above
Vector a = 2i + 3j - 5k. What is the value of 3a?
3i + 3j - 3k
5i + 6j - 8k
6i + 9j -15k
6i + 6j - 15k
Given points A(2, 1) and B(-4, 1). Explain why the vector AB is parallel to the x-axis
because vector AB is a multiple of the unit vector i
because vector AB is a multiple of the unit vector j
because vector AB is a multiple of the unit vector k
Write the vector from A to B...
a
-a
b
-b
Write the vector from C to A...
a
-a
b
-b
Write the vector from C to B...
y
-y
z
-z
Write the vector from A to B...
r
-r
s
-s
Write the vector from C to B...
r + s
s - r
s + r
r - s
Write the vector from A to D...
a + b
-a + b
b - a
a - b
Write the vector from C to B...
y
-y
z
-z
Write the vector from A to C...
x + z
x + y
x - z
x - y
Write the vector from F to D...
y - z
x + z
-x + z
z - x
Write the vector from B to E...
x + y + z
x - y + z
-x + y + z
x - y - z
Write the vector from A to D...
x + y + z
x - y + z
-x + y + z
x - y - z
Write the vector from B to C...
r + s
-r + s
s + r
-s - r
Find the magnitude.
5
3
25
-4
Find the magnitude.
0
5
-5
4
Find the magnitude.
4
5
3
square root of 5
10 mph
scalar
vector
17 m/s, East
Vector
Scalar
If vector a= (4, -5) and vector b= (-7, 4) Find a+b
(3, 9)
(-3, -1)
(11, 1)
(-3, -9)
If vector a= (4, -5) and vector b= (-7, 4) Find a-b
(-11, -9)
(11, 9)
(11, -9)
(-3, -1)
If vector a= (4, -5) and vector b= (-7, 4) Find 2a-3b
(29, -22)
(13, -2)
(1, 7)
(29, -2)
Which vector equation matches the vector operation shown in the diagram below?
u-v=w
u-v=-w
u+v=w
v+u=-w
Which vector equation matches the vector operation shown in the diagram below?
v+w=-u
w-u=-v
w-u=v
-u+v=w
Let vector a= (5, -7) and vector b= (-12, 2) Find 2b-4a
(44, -32)
(-4, 24)
(-44, 32)
(4, -24)
What is the sum of multiple vectors called?
Rectangle
Resultant vector
head
tail
Which of the following is an example of a vector quantity?
velocity
temperature
volume
mass
OB + BC = OC
OA + AC = OC
CB + B0 = -OC
OD = 0.5(OA + AC)
A ferry departs from A(-25, 28). It takes 3 hours to reach its destination B(20, -32), travelling in as straight line with constant velocity. Distances are in km. Find the distance that the ferry travels.
50 km
55 km
70 km
75 km
A ferry departs from A(-25, 28). It takes 3 hours to reach its destination B(20, -32), travelling in as straight line with constant velocity. Distances are in km. Find the velocity vector of the ferry.
15i + 20j
15i - 20j
20i + 15j
20i - 15j
