Adding and Subtracting 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

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

A resultant vector is

• equal to the sum of one vector.

• equal to the sum of two or more vectors.

• equal to the difference of one vector.

If vector a= (4, -5) and vector b= (-7, 4) Find a+b

• (3, 9)

• (-3, -1)

• (11, 1)

• (-3, -9)

Let u = <5, 2> and v = <1, -1>.

Find u + v.

• <4, -1>

• <6, 1>

• <3, 4>

• <1, 6>

Add the vectors R + S

R < 1 , 4 , 6 >

S < 3 , 2 , -3 >

If vector a= (4, -5) and vector b= (-7, 4) Find 2a-3b

• (29, -22)

• (13, -2)

• (1, 7)

• (29, -2)

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

a=6j+8j, magnitude of a is

• 2

• 4

• 14

• 10