a. Write vector C in component form.________________b.

Chapter 3, Problem 13E

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QUESTION:

Let \(\vec{A}=4 \hat{\imath}-2 \hat{\jmath}, \vec{B}=-3 \hat{\imath}+5 \hat{\jmath}\), and \(\vec{C}=\vec{A}+\vec{B}\).

a. Write vector \(\vec{C}\) in component form.

b. Draw a coordinate system and on it show vectors \(\vec{A}, \vec{B}\), and \(\vec{C}\).

c. What are the magnitude and direction of vector \(\vec{C}\) ?

Equation Transcription:

Text Transcription:

^vec A=4 ^hat i-2 ^hat j, B=3 ^hat i+5 ^hat j

^vec C=^vec A+^vec B

Cu

^vec A, ^vec B, ^vec C

^vec C

Questions & Answers

QUESTION:

Let \(\vec{A}=4 \hat{\imath}-2 \hat{\jmath}, \vec{B}=-3 \hat{\imath}+5 \hat{\jmath}\), and \(\vec{C}=\vec{A}+\vec{B}\).

a. Write vector \(\vec{C}\) in component form.

b. Draw a coordinate system and on it show vectors \(\vec{A}, \vec{B}\), and \(\vec{C}\).

c. What are the magnitude and direction of vector \(\vec{C}\) ?

Equation Transcription:

Text Transcription:

^vec A=4 ^hat i-2 ^hat j, B=3 ^hat i+5 ^hat j

^vec C=^vec A+^vec B

Cu

^vec A, ^vec B, ^vec C

^vec C

ANSWER:

Step 1 of 5

We are required to write the components of \(\vec{C}\)

We need to draw the \(\vec{A}, \vec{B}\) and \(\vec{C}\) on coordinate system

We are required to find the magnitude and direction of \(\vec{C}\)

 

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