Vector and Parametric Equations

Given points are A(3;2) and B(5;-1). What are the coordinates of the AB vector?

• (-2; 3)

• (-2; -3)

• (2; -3)

• (2; 3)

Tags

CCSS.HSN.VM.A.2

The name of the vector which is parellel with a given line is

• direction vector

• direct vector

• normvector

• normal vector

What is the magnitude AB(6,8) vector?

• 10

• 11

• 12

• 6,21

Tags

CCSS.HSN.VM.A.1

Find the parametric equation of a straight line passing through the point (3, -1, 2) and is parallel to the vector i+2j-k

Find the vector equation of a line that passes through points A(2, -3, 4) and B(1, 2, 7).

• r = (2i-3j+4k) + t(-2i+j-k)

• r = (3i-2j+k) + t(-i+5j+3k)

• r = (i+2j+7k) + t(2i-3j+4k)

• r = (2i-3j+4k) + t(-i+5j+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 speed of the ferry.

• 50 km/h

• 55 km/h

• 25 km/h

• 20 km/h

Tags

CCSS.HSN.VM.A.3

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

2. How are speed and velocity different?

• Speed involves how fast something moves while velocity does not.

• Velocity has a direction while speed does not.

• There is no difference between speed and velocity.

• Velocity has a magnitude while speed does not.

Tags

CCSS.HSN.VM.A.1

If a boomerang is thrown 20 m in a straight line and returns exactly to the spot it was thrown what is its displacement?

• 20m
• 40m
• 0m
• -20m

Tags

CCSS.7.EE.B.3

What is the difference between speed and velocity?

• Velocity has a direction

• Speed has a direction

• Velocity has a magnitude

• Speed has a magnitude