Test #6 Study Guide

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

The _______ of two or more vectors is the sum of the vectors.

• components
• scalar
• resultant
• magnitude

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

• √11
• 13
• √-4
• √13

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS.

• 〈14,-13〉
• 〈-14,13〉
• 〈-40,-21〉
• 〈40,-21〉

Given an initial point A ( 2, 4 ) and terminal point B ( -8, 7 ), find the component form of the vector AB.

• 〈-10,3〉
• 〈-6,3〉
• 〈10,11〉
• 〈-6,-3〉

Given u = <3, 7> and v =<-5, 4>, find 2u - 3v

• <21, 2>
• <-11, 26>
• <8, 3>
• 23

If v =〈a,b〉, then a is the ___________ component of v.

• vertical
• horizontal
• parallel
• slope

Find the components of a vector v such that 
v + 〈-6,4〉 = 〈10,-3〉

• 〈4,1〉
• 〈16,4〉
• 〈16,-7〉
• none of these

Write the following expression as the sine, cosine, or tangent of an angle.
cos(175)cos(55)+sin(175)sin(55)

• sin(120)
• cos(120)
• cos(230)
• sin(230)

Use Sum or Difference Identities to find the exact value of
sin(π/12)

• (-√(2)-√(6))/2
• (√(6)-√(2))/4
• (√(2)+√(3))/4
• (-√(6)+√(2))/4