Ch 9 Vectors

Determine the position vector for point (3,5,0)

Tags

CCSS.HSN.VM.A.2

Vector is a quantity with:

• magnitude and direction

• magnitude

• direction

• none of the above

Tags

CCSS.HSN.VM.A.1

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

• 36

• 49

• 7

• 6

Tags

CCSS.HSN.VM.A.1

The scalar product of u and v is zero, therefore...

• vectors u and v are parallel

• vectors u and v are perpendicular

• vectors u and v are equal

• vectors u and v are multiples

Component Form

• <-3, -7>

• <3, -7>

• <-3, 7>

• <7, 3>

Tags

CCSS.HSN.VM.A.2

Write in component form.

• <0, 4>

• <8, 2>

• <2, 8>

• <0, 2>

Tags

CCSS.HSN.VM.A.2

Determine the direction and magnitude of the vector 〈7,18〉

• Direction 21.3°
  Magnitude 19.3
• Direction 68.7°
  Magnitude 19.3
• Direction 21.3°
  Magnitude 373
• Direction 68.7°
  Magnitude 373

Tags

CCSS.HSN.VM.A.1

What is the answer when you take dot product between two vectors?

• a vector

• a scalar

• a vector and scalar

• nothing

What operation you need to find an angle between two vectors?

• Dot product between the two vectors

• Dot product between the two vectors divide the magnitude of both vectors

• Cosine inverse of dot product between the two vectors divide the magnitude of both vectors

• Cross product between the two vectors