Vector Addition and Navigation Quiz

What is the first step in adding vectors?

• Choose a coordinate system
• Resolve vectors into components
• Add x-components together
• Calculate direction using tangent inverse

When resolving vectors into components, which components do you calculate?

• x and y components
• magnitude and direction
• horizontal and vertical components
• length and angle

In vector addition, why is it important to establish a coordinate system first?

• To make the problem look more organized
• To ensure all vectors are the same length
• To properly resolve vectors into x and y components
• To determine the vector's color

What mathematical relationship is used to find the total magnitude of a resultant vector?

• Addition formula
• Pythagorean theorem
• Law of cosines
• Simple multiplication

In the camp navigation example, if you travel 5.0 km north first, what component method are you using?

• Vector decomposition
• Vector multiplication
• Vector division
• Vector elimination

What determines a vector's complete description?

• Magnitude only
• Direction only
• Both magnitude and direction
• Neither magnitude nor direction

When adding vectors, what must be done before using the Pythagorean theorem?

• Add all x-components and y-components separately
• Multiply the vectors together
• Draw a pretty diagram
• Convert to polar coordinates

Which mathematical function is used to find the direction of the resultant vector?

• Cosine
• Sine
• Tangent inverse
• Square root

In the camp navigation problem, why is the second path segment described as 'unknown'?

• It needs to be calculated using vector mathematics
• The map was torn
• The path doesn't exist
• The distance is too far to measure

What is the correct sequence for adding vectors?

• Choose coordinate system, add magnitudes, find direction
• Resolve components, add x and y separately, find magnitude and direction
• Draw vectors, multiply components, divide by two
• Add angles, multiply distances, find average