Operations of Vectors

If c = <-5, 4> and d = <8, 0>, calculate 2c + d

• <-2, 8>

• <-2, 0>

• <6, 8>

• <6, 0>

If y = <2, 0> and
z = <-1, -4>, find 3y - 2z.

• <5, -8>
• <4, 8>
• <8, 8>
• <-8, -8>

Let u = <5, 2> and v = <1, -1>.

Find u + v.

• <4, -1>

• <6, 1>

• <3, 4>

• <1, 6>

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

• <21, 2>
• <-11, 26>
• <8, 3>
• 23

Given v = 〈3,-5〉 and w = 〈-2,3〉, what is v + w?

• 〈6,-10〉
• 〈1,-2〉
• 〈0,-1〉
• none of these

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

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

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

• <-8, -3>

• <8, 11>

• <-2, 11>

• <2, 3>

Let a = <-2, 0> and b = <-4, -8>.

Find a - b.

• <2, -8>

• <2, 8>

• <-6, -8>

• <-6, 8>

If u = <-2, 0>, find 3u.

• <-6, 3>

• <-6, 0>

• <6, 0>

• <6, 3>

Find the components of vector u, such that

<5, 8> - u = <-2, 10>

• <7, 2>

• <-7, 2>

• <-7, -2>

• <7, -2>