8.1-8.4 Quiz Review

What is a vector?

Quantity that has both magnitude and direction.

What is magnitude?

Size/length of the vector (always has unit in word problems)

How do you find a resultant? (Triangle method)

1. Place initial point of 2nd vector in the terminal pt of 1st vector

2. Resultant is drawn from the initial point of 1st to terminal point of second

What are opposite vectors?

Same magnitude, opposite direction

How do you find the x-component of a vector?

Magnitude x cos(amplitude)

How do you find the y-component of a vector?

Magnitude x sin(amplitude)

How do you put a vector in component form?

Terminal point - initial point

How do you find magnitude if you have both components?

sqrt(a² + b²)

How do you add vectors?

(a₁+a₂, b₁+b₂) (supposed to be pointy brackets)

What is a unit vector?

Magnitude = 1

How do you find magnitude of a 3-D vector?

sqrt(a²+b²+c²)

How do you find the inner or dot product of two vectors?

a₁a₂ + b₁b₂

How can you determine if two vectors are perpendicular using the dot product?

If the dot product = 0

How do you find the cross product of two 3-D vectors?