Solved: Draw each of the following vectors, label an angle

Chapter 3, Problem 11E

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QUESTION:

Draw each of the following vectors, label an angle that specifies the vector's direction, then find the vector's magnitude and direction.

a. \(\vec{A}=4 \hat{\imath}-6 \hat{\jmath}\)

b. \(\vec{r}=(50 \hat{\imath}+80 \hat{\jmath}) \mathrm{m}\)

c. \(\vec{v}=(-20 \hat{\imath}+40 \hat{\jmath}) \mathrm{m} / \mathrm{s}\)

d. \(\vec{a}=(2.0 \hat{\imath}-6.0 \hat{\jmath}) \mathrm{m} / \mathrm{s}^{2}\)

Equation Transcription:

Text Transcription:

^vec A=4^hat i-6^hat j

^vec r=(50^hat i+80^hat j)m

^vec v=(-20^hat i+40^hat j)m/s

^vec A=(2.0^hat i-6.0^hat j)m/s^2

Questions & Answers

QUESTION:

Draw each of the following vectors, label an angle that specifies the vector's direction, then find the vector's magnitude and direction.

a. \(\vec{A}=4 \hat{\imath}-6 \hat{\jmath}\)

b. \(\vec{r}=(50 \hat{\imath}+80 \hat{\jmath}) \mathrm{m}\)

c. \(\vec{v}=(-20 \hat{\imath}+40 \hat{\jmath}) \mathrm{m} / \mathrm{s}\)

d. \(\vec{a}=(2.0 \hat{\imath}-6.0 \hat{\jmath}) \mathrm{m} / \mathrm{s}^{2}\)

Equation Transcription:

Text Transcription:

^vec A=4^hat i-6^hat j

^vec r=(50^hat i+80^hat j)m

^vec v=(-20^hat i+40^hat j)m/s

^vec A=(2.0^hat i-6.0^hat j)m/s^2

ANSWER:

Step 1 of 5

We are required to calculate the magnitude, direction and angle of the vector We need to label the angles on vector diagrams

 

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