Direction of Vector

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 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

If a vector B has a magnitude of 10 units and makes an angle of 30 degrees with the positive x-axis, what are its horizontal and vertical components?

• 5 units and 8.66 units

• 8.66 units and 5 units

• 10 units and 10 units

• 7.5 units and 2.5 units

Which of the following vectors has the same direction as the vector D = 5i - 5j?

• E = 10i + 10j

• F = -5i + 5j

• G = -10i - 10j

• H = 2.5i - 2.5j

If a vector I has a magnitude of 15 units and its direction is along the negative y-axis, what are its components?

• 15i

• -15j

• -15i

• 15j

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〉

Check out this super cool vector (☞ﾟヮﾟ)☞

Calculate the horizontal component of the velocity

• 69 m/s

• 20 m/s

• 35 m/s

• 23 m/s

Find the vertical component of its velocity

• 52 m/s

• 30 m/s

• 35 m/s

• 9 m/s