Multiply Vectors

Two perpendicular forces act on an object as shown in the diagram. What is the magnitude of the resultant force on the object?

• 17 N

• 13 N

• 7.0 N

• 5.0 N

Given a vertical velocity of 300 in/s and a horizontal velocity of 400 in/s, find the resultant velocity and angle of the plane.

• 500 in/s at an angle of 37 degrees

• 500 in/s at an angle of 41 degrees

• 50 in/s at an angle of 37 degrees

• 50 in/s at an angle of 41 degrees

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

• 3i + 3j - 3k

• 5i + 6j - 8k

• 6i + 9j -15k

• 6i + 6j - 15k

u = 〈 - 4, - 12〉 Find: 8u

• 〈 - √2, 5√2〉

• 〈 - 44, 12〉

• 〈 - 8, 16√6〉

• 〈 - 32, - 96〉

Write your answer as a linear combination (no spaces)

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

• <-6, 3>

• <-6, 0>

• <6, 0>

• <6, 3>

If z = <-3, -3>, what is -4z?

• <12, 12>

• <12, -3>

• <-12, -12>

• <-12, 12>

Find the magnitude of the resultant vector.