Problem 8
Question
The two basic vector operations are scalar ________ and vector ________ .
Step-by-Step Solution
Verified Answer
The two basic vector operations are scalar multiplication and vector addition.
1Step 1 Understanding Vector Operations
The two basic vector operations involve multiplying a vector by a scalar and adding two or more vectors together.
2Step 2 Filling The Missing Terms
Firstly, the operation involving the multiplication of a vector by a scalar, where each element of the vector is multiplied by that scalar, is called scalar multiplication. Secondly, the operation of combining two or more vectors into a single vector is termed vector addition. Thus, the two missing terms are 'multiplication' and 'addition' respectively.
Other exercises in this chapter
Problem 8
In Exercises 5-10, plot the complex number and find its absolute value. \(-7\)
View solution Problem 8
In Exercises 7-14, find the dot product of \(\mathbf{u}\) and \(\mathbf{v}\). \(\mathbf{u} = \langle 6, 10 \rangle\) \(\mathbf{v} = \langle -2, 3 \rangle\)
View solution Problem 9
In Exercises 5-10, plot the complex number and find its absolute value. \(4 - 6i\)
View solution Problem 9
In Exercises 7-14, find the dot product of \(\mathbf{u}\) and \(\mathbf{v}\). \(\mathbf{u} = \langle -4, 1 \rangle\) \(\mathbf{v} = \langle 2, -3 \rangle\)
View solution