☀️21.5 Vector (+-*/) / Conic

A resultant vector is

• equal to the sum of one vector.

• equal to the sum of two or more vectors.

• equal to the difference of one vector.

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>

If w = <2, -5> and y = <2, 0>, find 2w + y.

• <-10, 2>
• <4, -5>
• <-6, 10>
• <6, -10>

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

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

What is the magnitude of the resultant vector, r?

• 3

• 4

• 5

• 7

When using the head-to-tail method to draw a vector addition diagram, the resultant is drawn from the _____ .

• head of the first vector to the tail of the last vector

• tail of the first vector to the head of the last vector

• head of the last vector to the tail of the first vector

• tail of the last vector to the head of the last vector