Vector Analysis and Wind Forces

The video tutorial covers two word problems involving vectors. The first problem involves calculating the component form of a plane's velocity heading due south and the effect of wind blowing from a specific direction. The instructor demonstrates how to calculate the resultant vector and determine the bearing. The second problem involves forces acting on an object at different angles, and the instructor shows how to find the direction and magnitude of the resultant force. The tutorial emphasizes vector addition, component form, and angle calculations.

What is the initial direction of the plane in the problem?

• South

• East

• West

• North

What is the magnitude of the plane's speed?

• 270 mph

• 180 mph

• 51 mph

• 298 mph

How is the wind's direction described in the problem?

• From 90°

• From 270°

• From 180°

• From 51°

What is the speed of the wind affecting the plane?

• 18 mph

• 51 mph

• 298 mph

• 100 mph

What is the resultant vector's quadrant?

• Fourth

• Third

• Second

• First

What mathematical function is used to find the bearing?

• Tangent

• Inverse Tangent

• Sine

• Cosine

What is the angle of the first force in the new problem?

• 180°

• 90°

• 60°

• 55°

What is the magnitude of the second force in the problem?

• 50 lb

• 150 lb

• 100 lb

• 90 lb

What is the resultant force's magnitude?

• 50 lb

• 100 lb

• 90 lb

• 102.435 lb

What is the direction angle of the resultant force?

• 180°

• 7.223°

• 60°

• 55°