Vectors

Front

Given an initial point A (2, 4) and terminal point B (-8, 7), find the component form of the vector AB.

Back

The component form of vector AB is ⟨-10, 3⟩.

Front

Find the resultant vector of the vectors ⟨-3, 2⟩ and ⟨-4, 1⟩.

Back

The resultant vector is ⟨-7, 1⟩.

Front

Find the magnitude of the vector ⟨10, -8⟩.

Back

The magnitude of the vector is 12.81.

Front

Given u = ⟨3, 7⟩, find 2u.

Back

2u = ⟨6, 14⟩.

Front

Write in component form the vector that represents the movement from the initial point (2, 4) to the terminal point (10, 6).

Back

The component form is ⟨8, 2⟩.

Front

Define a vector.

Back

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

Front

What is the formula for finding the magnitude of a vector ⟨a, b⟩?

Back

The magnitude is given by √(a² + b²).

Front

How do you add two vectors geometrically?

Back

Place the tail of the second vector at the head of the first vector; the resultant vector is drawn from the tail of the first to the head of the second.

Front

What is the component form of a vector from point (x1, y1) to point (x2, y2)?

Back

The component form is ⟨x2 - x1, y2 - y1⟩.

Front

If vector A = ⟨2, 3⟩ and vector B = ⟨4, -1⟩, what is A + B?

Back

A + B = ⟨6, 2⟩.