Translating Vectors

Given points A(3, 2, -4) and B(2, 1, -1), so the vector AB is

• i + 3j -5k

• -i -3j +3k

• i -j -5k

• -i -j +3k

A ferry departs from A(-25, 28). It takes 3 hours to reach its destination B(20, -32), travelling in as straight line with constant velocity. Distances are in km. Find the velocity vector of the ferry.

• 15i + 20j

• 15i - 20j

• 20i + 15j

• 20i - 15j

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

• 3i + 3j - 3k

• 5i + 6j - 8k

• 6i + 9j -15k

• 6i + 6j - 15k

Given points A(2, 1) and B(-4, 1). Explain why the vector AB is parallel to the x-axis

• because vector AB is a multiple of the unit vector i

• because vector AB is a multiple of the unit vector j

• because vector AB is a multiple of the unit vector k

A vector is a mathematical structure that has both _______ and _______.

• direction, magnitude

• scope, sequence

• meat, potatoes

• scalar, vector

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〉

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS. Hint: get it into the pointy brackets.

• 〈14,-13〉

• 〈-14,13〉

• 〈-40,-21〉

• 〈40,-21〉

Given u = <3, 7> and v =<-5, 4>, find 2v - 3u

• <21, 2>

• <-19, -13>

• <-15, 3>

• 23

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

• Direction 24.4°
  Vertical 12.1

• Direction65.6°
  Magnitude 12.1

• Direction -24.4°
  Magnitude 12.1

• Direction 155.6°
  Magnitude 12.1

Calculate the horizontal component of the velocity

• 69 m/s

• 20 m/s

• 35 m/s

• 23 m/s