7.3 Vectors in three-dimensional space

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.5B

CCSS.HSN-VM.B.5A

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

• 36

• 49

• 7

• 6

Tags

CCSS.HSN.VM.A.1

Find the magnitude.

• -10

• -8

• 6

• 10

Tags

CCSS.HSN.VM.A.1

Component Form

• <-3, -7>

• <3, -7>

• <-3, 7>

• <7, 3>

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

Determine the components of the vector:

• <5, 8.7>

• <8.7, 5>

• <59.1, 10.4>

• <10.4, 59.1>

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

Determine the components of the vector: magnitude= 12 and direction= 125 degrees

• < -9.9, 6.9 >

• < 9.9, -6.9 >

• < -6.9, 9.8 >

• < 6.9, -9.8 >

Determine the direction of the vector <-1, 3>

• 161 degrees

• -72 degrees

• 288 degrees

• 108 degrees

Tags

CCSS.HSF.TF.A.2

CCSS.HSN.VM.A.1