Quarter 2 Independent Assignment #6 on Vector Operations

Front

If vector h = (3,-5) and vector k = (5, 9), find the sum.

Back

h + k = (8,4)

Front

Given u = <3, 7> and v = <-5, 4>, find -u + v.

Back

-u + v = <-8, -3>

Front

Write your answer as a linear combination (no spaces).

Back

14i+11j

Front

Given u = <3, 7> and v = <-5, 4>, find 2u - 3v.

Back

2u - 3v = <21, 2>

Front

If \( \overrightarrow{TU} + \overrightarrow{US} = ? \)

Back

\( \overrightarrow{TS} \)

Front

Define a vector.

Back

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

Front

What is vector addition?

Back

Vector addition is the process of adding two or more vectors together to get a resultant vector.

Front

Explain the concept of a linear combination of vectors.

Back

A linear combination of vectors is an expression formed by multiplying each vector by a scalar and adding the results.

Front

What is the formula for subtracting vectors?

Back

To subtract vector v from vector u, use u - v = u + (-v).

Front

How do you represent a vector in component form?

Back

A vector in component form is represented as \( \langle x, y \rangle \) where x and y are the horizontal and vertical components.