Vector

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

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

When subtracting two vectors, a-b=c. Does b-a produce the same resultant vector c?

• Yes, two vectors subtracted 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 subtract two vectors

Tags

CCSS.HSN-VM.B.4C

Which vector equation matches the vector operation shown in the diagram below?

• u + w = - v

• v + u = w

• w + u = v

• - v + w = 2u

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.B.4

CCSS.HSN.VM.C.10

• A
• B
• C
• D

Tags

CCSS.HSN-VM.B.4C

Vectors a, b, c are defined as:

a = 2i + 5j; b = i - 3j; c = -3i - j. Answer all correct answers

• a + b = 3i + 8j

• a - b = i + 8j

• a + c = -i + 4j

• c - b = -5i + 6j

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

Given three vectors a, b and c as shown in the diagram. With the polygon rule, the most appropriate diagram for

d = a - b + c is

• 
• 
• 
• 

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.B.4

CCSS.HSN.VM.C.10

Which of the following is the CORRECT diagram that applying polygon rule for a − c − d?

• 
• 
• 
• 
• 

Find the magnitude.

• 4

• 5

• 3

• square root of 5

• 3a - 2b

• a - 4b

• -2a + 4b

• 2a - 5b

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.11

Given points A(2, 1) and B(-4, 1). Explain why the vector AB is parallel to the x-axis.

• because vector AB has component vector j = 0

• because vector AB has component vector i = 0

• because vector AB is a multiple of the unit vector k

Tags

CCSS.HSN.VM.A.1