Vectors

Vector is a quantity with:

• magnitude and direction

• magnitude

• direction

• none of the above

When adding two vectors graphically, a+b=c. Does b+a produce the same resultant vector c?

• Yes, two vectors added together always produce the same resultant vector

• No, because order matters

• Yes, but c will be pointing in the opposite direction

• No, because you can't add two vectors

When subtracting two vectors, a-b=c. Does b-a produce the same resultant vector c?

• Yes, two vectors subtracted together always produce the same resultant vector

• No, because order matters

• Yes, but c will be pointing in the opposite direction

• No, because you can't subtract two vectors

Find the magnitude.

• 4

• 5

• 3

• square root of 5

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 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

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

Find a - b.

• <2, -8>

• <2, 8>

• <-6, -8>

• <-6, 8>

Tags

CCSS.HSN.VM.C.8