vector algebra

. $find\ the\ magnitude\ of\ \ 2i\ +3j-\sqrt{3}k$  

•  $\sqrt{22}$  

• 10

• 4

• 16

Find the magnitude.

• 4

• 5

• 3

• square root of 5

Tags

CCSS.HSN.VM.A.1

Find the resultant vector.

• <9, 15>

• <7, 17>

• <15, 9>

• <11, 13>

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.B.4

CCSS.HSN.VM.C.10

How do you know if two vectors are orthogonal?

• Their sum is 0.
• The dot product is 1.
• The angle between them is 0°.
• The dot product is 0.

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

CCSS.HSN.VM.A.1

 $Find\ the\ angle\ between\ the\ vectors\ i-j+k\ and\ -i+j+2k$  

• 0

• 49.76°

• 90°

• 92.57°

 $Find\ the\ direction\ \cos ine\ of\ \ 3i-2j+3k$  Fin

•  $\frac{3}{22},\frac{-2}{22},\frac{3}{22}$  

•  $\frac{3}{\sqrt{22}},\frac{2}{\sqrt{22}},\frac{3}{\sqrt{22}}$  

•  $\frac{3}{\sqrt{22}},\frac{-2}{\sqrt{22}},\frac{3}{\sqrt{22}}$  

•  $\frac{-3}{\sqrt{22}},\frac{-2}{\sqrt{22}},\frac{3}{\sqrt{22}}$  

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

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 v is:

• 36

• 49

• 7

• 6