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WorksheetsVectors' Addition
Total questions: 15
Worksheet time: 13mins
What is the resultant vector of the two labeled vectors?
+2 km
+14 km
-2 km
-14 km
What is the magnitude of the resultant vector, r?
3
4
5
7
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)
When adding two vectors graphically, a+b=c. Does b+a produce the same resultant vector c?
Yes, two vectors added together always produce the same resultant vector
No, because order matters
Yes, but c will be pointing in the opposite direction
No, because you can't add two vectors
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?
u+v=w
w+u=v
v+w=-u
w+u=-v
Let vector a= (5, -7) and vector b= (-12, 2) Find 2b-4a
(44, -32)
(-4, 24)
(-44, 32)
(4, -24)
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(3, 2, -4) and B(2, 1, -1), so the vector AB is
i + 3j -5k
-i -3j +3k
i -j -5k
-i -j +3k
Given the vector v = 3i -2j +6 k, the magnitude of a is:
36
49
7
6
p=<3, −9>
Find the magnitude to the nearest tenth.
(a)
