Learn how to write the vector in component form and find the magnitude

The video tutorial explains how to plot points and determine the direction of vectors. It covers the component form of vectors, emphasizing the importance of starting and ending points. The tutorial demonstrates calculating the magnitude of a vector using the Pythagorean theorem and simplifies the result. The instructor provides examples and clarifies different ways to label vectors, concluding with a reminder to memorize the formula.

Why is it important to know the starting and ending points when dealing with vectors?

• Because it affects the distance calculation

• Because it affects the size of the vector

• Because it affects the direction of the vector

• Because it affects the color of the vector

What is the component form of a vector?

• The sum of the coordinates

• The average of the coordinates

• The difference between the coordinates

• The product of the coordinates

How do you calculate the component form of a vector from points P and Q?

• By dividing the coordinates of P by Q

• By adding the coordinates of P and Q

• By subtracting the coordinates of P from Q

• By multiplying the coordinates of P and Q

Which theorem is used to calculate the magnitude of a vector?

• Pythagorean theorem

• Binomial theorem

• Fermat's Last theorem

• Fundamental theorem of calculus

What is the simplified form of the magnitude of a vector with components -8 and -4?

• 4√5

• 8√2

• 2√10

• 16√5