Unit Vectors-10.51ASP

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

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

• √11
• 13
• √-4
• √13

Tags

CCSS.HSN.VM.A.1

Given that v= $<2.5,7.5>$ , what is the directional angle of v?

• 18.4

• 71.6

• 70.5

• 19.5

Tags

CCSS.HSN.VM.A.1

Given vector x, which color indicates the correct directional angle for the vector.

• red

• blue

• green

• none of the above

Tags

CCSS.HSN.VM.A.1

A direction angle must: (select all that apply)

• Be positive

• Be less that 270 degrees

• Start from 0 degrees

• not be an axis value

• be inside the triangle formed by the vector

Write the vector u $=<-2,5>$   in unit vector format.

• -2j+5i

• -2+5j

• -2i+5j

• -2i+0, 0+5j

Given v $=<6,-3>$  and u $=<9,4>$   find the value of v+u.

•  $<15,7>$  

•  $<-15,-7>$  

•  $<15,1>$  

•  $<4,1>$  

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

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

• 36

• 49

• 7

• 6

Tags

CCSS.HSN.VM.A.1