vector algebra

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

Tags

CCSS.HSN.VM.A.2

Given the vector v = 3i -2j +6 k, the magnitude of a is:

• 36

• 49

• 7

• 6

Tags

CCSS.HSN.VM.A.1

The vector 2 i + α j +  k is perpendicular to the vector 2 i – j – k  if   

• α = 5
•  α = – 5
•  α = – 3
•  α = 3

The scalar projection of vector u=(-7,4) onto vector v=(4, -3) is

• 8

• 40

• -8

• -16

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

CCSS.HSN.VM.A.3

CCSS.HSN.VM.B.5

Given an initial point A ( 2, 4 ) and terminal point B ( -8, 7 ), find the component form of the vector AB.

• 〈-10,3〉

• 〈-6,3〉

• 〈10,11〉

• 〈-6,-3〉

Tags

CCSS.HSN.VM.A.2

u + v

• 4i - j

• 6i + j

• 3j + 4j

• i + 6j

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

v - w

• -6i + 2j

• 6i - 2j

• 2i - 6j

• -2i + 6j

Tags

CCSS.HSN-VM.B.4C

||2w - 3v||

• square root of 130

• square root of 40

• 130

• 40

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

Vector a = 2i + 3j - 5k. What is the value of 3a?

• 3i + 3j - 3k

• 5i + 6j - 8k

• 6i + 9j -15k

• 6i + 6j - 15k

Tags

CCSS.HSN-VM.B.5A

CCSS.HSN-VM.B.5B