Vectors

A vector quantity has____ and ____

 Determine the direction and magnitude of the vector 〈-11,5〉

• Direction 24.4° Magnitude 24.2

• Direction65.6° Magnitude 24.2

• Direction -24.4°
  Magnitude 12.1
• Direction 155.6°
  Magnitude 12.1

Find 3u - 2v

• 15

• <21,-6>

• -15

• <-21,6>

A river flows due south at 3 mi/h. A swimmer attempting to cross the river heads due east swimming at 2 mi/h relative to the water. Find the true speed and direction of the swimmer.

• 3.6 mi/hr, -3/2 degrees

• <2,-3>, 56.3 degrees

• <2,-3>, -56.3 degrees

• 3.6 mi/hr, 303.7 degrees

The dot product is a ___ quantity

• Vector

• Scalar

Are the given vectors orthogonal?

• Yes, the angle between them is 0 degrees.

• Yes, the angle between them in 90 degrees.

• No, the angle between them is 30 degrees.

• No, the angle between them is 60 degrees.

The dot product can be used with two and three dimensional vectors

• I agree

• I disagree

• It depends

• Not sure

Find the distance between points P(1,2,-1) and Q(3,-1,2)

• 312

• 7

• I agree

• I disagree

• It depends

• I'm not sure

The cross-product can be used in both two and three dimensions

• I agree

• I disagree

• It depends

• Not sure