How to use vectors to solve a word problem

The video tutorial explains how to work with vectors, focusing on a boat's movement affected by a current. It covers drawing vectors, understanding bearings, and calculating the resultant vector's speed and direction using component form. The tutorial also demonstrates using a calculator for vector calculations and concludes with final calculations and interpretations.

What is the magnitude of the boat's vector?

• 8 mph

• 90 mph

• 27 mph

• 60 mph

What is the bearing of the current vector?

• S 60 degrees West

• E 60 degrees South

• N 60 degrees East

• W 60 degrees North

How is the boat's vector expressed in terms of trigonometric functions?

• cosine of 0 degrees, sine of 0 degrees

• cosine of 210 degrees, sine of 210 degrees

• cosine of 90 degrees, sine of 90 degrees

• cosine of 60 degrees, sine of 60 degrees

What is the angle used for the current vector in standard form?

• 90 degrees

• 210 degrees

• 60 degrees

• 270 degrees

What is the process to find the resultant vector?

• Subtract the components of the vectors

• Multiply the components of the vectors

• Add the components of the vectors

• Divide the components of the vectors

What is the magnitude of the resultant vector?

• 30 mph

• 27 mph

• 24 mph

• 8 mph

How is the direction of the resultant vector expressed as a bearing?

• N 17 degrees West

• S 17 degrees West

• N 17 degrees East

• E 17 degrees North