Vectors AT

Let v be the vector with initial point (3,-5) and termiinal point (7,2). Write v as a linear combination of the standard unit vectors..

• 4i + 7j

• -5i - 7j

• 10i + -3j

Write vector v = <-15, -11> as a linear combination of standard unit vectors.

• -15i - 11j

• -15i + 11j

• <-15i, -11j>

Find the angle between vectors a and b. Round your answer to the nearest degree. The angle between vectors is given by cos(theta) = (a.b)/(|a||b|).

a = < 3,-7,2 >

b = < 2,2,1 >

• 35

• 75

• 105

• 135

Find the angle between vectors a and b. Round your answer to the nearest degree. The angle between vectors is given by cos(theta) = (a.b)/(|a||b|).

a = < 3,-7,2 >

b = < 2,2,1 >

• 35

• 75

• 105

• 135

Find the angle between the vectors. Round your answer to the nearest degree. The angle between vectors is given by cos(theta) = (a.b)/(|a||b|).

v = < -9, 6 >

w = < -1, -2 >

• 28

• 111

• 63

• 97

Calculate the angle in degrees between u=<3, 4> and v=<-4, 3>.

• 90

• 37

• 53

• 135

Calculate the angle in degrees between u=<3, 4> and v=<-6, -8>.

• 90

• 106

• 180

• 74

If A = <3, 6> and B = <11, 1>, then the vector A + B  in terms of i and j is equal to

• 3i + 6j

• 8i - 5j

• 8i + 5j

• 14i + 7j

If the dot product of two vectors is equal to zero, then what do we know about the two vectors?

• They are parallel.

• They are perpendicular.

• They are unit vectors.

• They are both zero vectors.

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

• √11
• 13
• √-4
• √13