Vectors: Component Form and Magnitude

Front

What is a vector?

Back

A vector is a quantity that has both magnitude and direction.

Front

How do you find the magnitude of a vector with initial point (x1, y1) and terminal point (x2, y2)?

Back

Magnitude = √((x2 - x1)² + (y2 - y1)²)

Front

What is the component form of a vector?

Back

A vector can be expressed in component form as .

Front

Given initial point (-8, 7) and terminal point (2, -5), find the magnitude of the vector.

Back

15.6

Front

What is the formula to find ∆x?

Back

∆x = x2 - x1

Front

What is the formula to find ∆y?

Back

∆y = y2 - y1

Front

How is the magnitude of a vector denoted?

Back

The magnitude of a vector is denoted as ||v||.

Front

What is the component form for a vector with initial point (-1, 5) and terminal point (6, 8)?

Back

<7, 3>

Front

If a vector has a magnitude of 10 and points in the positive x-direction, what is its component form?

Back

<10, 0>

Front

What does it mean for a vector to be in standard position?

Back

A vector is in standard position if its initial point is at the origin (0, 0).