Precalculus Application of Vectors

• a is the position vector of point A

• b is the direction vector of line L

• r is the position vector of all points in L, represented by P(x,y)

• OB + BC = OC

• OA + AC = OC

• CB + B0 = -OC

• OD = 0.5(OA + AC)

Vector a = 2i + 3j - 5k. What is the value of 3a?

• 3i + 3j - 3k

• 5i + 6j - 8k

• 6i + 9j -15k

• 6i + 6j - 15k

Given parallel vectors u and v. Answer ALL that apply

• their scalar product is zero

• their scalar product is either 1 or -1

• u is a multiple of v

• magnitude of u equals the magnitude of v

Find the component form of vector v.

If g = <-1, 1>, y = <1, 1>, z = <-3, -3>, and v = <6, 8>, what is 4g + y + z - 5v?

• <24, 42>

• <-36, -38>

• <36, 38>

• <-30, -32>

• 0

• 2

• 6

• 8

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〉

Find the magnitude.

• 4

• 5

• 3

• square root of 5

The scalar product of u and v is zero, therefore...

• vectors u and v are parallel

• vectors u and v are perpendicular

• vectors u and v are equal

• vectors u and v are multiples