Math Problem Statement
Let
Bold w
equalsminusBold iminus6Bold j
.
Find the vector
minus
9Bold w
.
Solution
We are given that:
We need to find the vector .
To do this, simply multiply the vector by :
Distribute the :
Thus, the vector is:
Let me know if you'd like further explanation or have any other questions! Here's a tip:
Tip: When multiplying a vector by a scalar, simply multiply each component (i.e., each term involving , , etc.) by the scalar.
Here are 5 follow-up questions:
- What does multiplying a vector by a scalar do to the vector?
- How would you find the magnitude of the vector ?
- How would you add two vectors in component form?
- What is the direction of the vector ?
- How would you represent the vector in terms of polar coordinates?
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Vectors
Scalar Multiplication
Formulas
Scalar multiplication of a vector: c * v = (c * v_x, c * v_y)
Theorems
Multiplying a vector by a scalar
Suitable Grade Level
Grades 9-11