Vectors - Dot and Cross Products

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.HSN.VM.A.1

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Find the dot product of <1, -2> and <3, 2>.

• 1
• <3, -4>
• <4, 0>
• -1

Tags

CCSS.HSN.VM.A.1

Find the magnitude of the vector <2, -3>.

• √11
• 13
• √-4
• √13

Tags

CCSS.HSN.VM.A.1

Find the dot product of the given vectors:

• 92
• 0
• -92
• none of the above

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.3

CCSS.HSN.VM.A.2

What type of quantity is produced by the dot product of two vectors?

• scalar
• vector

If the dot product of two vectors are equal to zero, then what do we know about the two vectors?

• They are parallel.
• They are orthogonal.
• They are neither.

Which statement describes a vector?

• It has magnitude but no direction
• It has direction but no magnitude
• It has both direction and magnitude
• It has constant magnitude but no
   direction

Tags

CCSS.HSN.VM.A.1

What is the magnitude of the vector 4i + 3j ?

• (4, 3)

• 7

• 5

• 25

Tags

CCSS.HSN.VM.A.1

Find the cross product of <3,4,7> and <4,9,2>.

• <-55, 22, -9>

• <-55, -22, -9>>

• <71,34, 63>

• <-71, -34, -63>

The cross product of vectors A and B is __________.

• parallel to either A or B

• parallel to both A and B

• perpendicular to either A or B

• perpendicular to both A and B