How to use magnitude and direction from a word problem to write the vector

The video tutorial covers the concept of vector forces, focusing on the addition of vectors using the head-to-tail method. It explains how to represent vectors in component form and perform calculations to find the resultant vector. The tutorial also demonstrates how to determine the magnitude and direction of the resultant vector, providing a comprehensive understanding of vector operations.

What method is used to add the two vectors in the problem?

• Parallelogram method

• Head-to-tail method

• Tail-to-tail method

• Cross product method

How is vector U represented in terms of unit vectors?

• cos(0) I + sin(0) J

• cos(45) I + sin(45) J

• cos(90) I + sin(90) J

• cos(30) I + sin(30) J

What is the component form of vector V?

• (0, 300)

• (300, 0)

• (300, 300)

• (0, 0)

What is the angle of the resultant vector U + V?

• 45 degrees

• 30 degrees

• 12.82 degrees

• 60 degrees

What is the significance of using decimals in the vector calculations?

• To avoid using trigonometric functions

• To simplify the calculations

• To ensure precision in the final result

• To make the calculations more complex

What is the magnitude of the resultant vector?

• 125 newtons

• 398.32 newtons

• 500 newtons

• 300 newtons

Why is the magnitude of the resultant vector larger than the individual vectors?

• Because it is the quotient of the two vectors

• Because it is the product of the two vectors

• Because it is the difference of the two vectors

• Because it is the sum of the two vectors