Question

(a) Enter a unit vector u? in the same direction as v? = 3i? + 7j?. NOTE: Enter your answer in the form ai? + bj?. Enter the exact answer, or round to three decimal places. u? = [? i + ? j] (b) Enter a unit vector p? perpendicular to v?. NOTE: Enter your answer in the form ai? + bj?. Enter the exact answer, or round to three decimal places. v? = [? i + ? j]

          (a) Enter a unit vector u? in the same direction as v? = 3i? + 7j?.
NOTE: Enter your answer in the form ai? + bj?.
Enter the exact answer, or round to three decimal places.
u? = [? i + ? j]
(b) Enter a unit vector p? perpendicular to v?.
NOTE: Enter your answer in the form ai? + bj?.
Enter the exact answer, or round to three decimal places.
v? = [? i + ? j]

(a) Enter a unit vector u? in the same direction as v? = 3i? + 7j?.
NOTE: Enter your answer in the form ai? + bj?.
Enter the exact answer, or round to three decimal places.
u? = [? i + ? j]
(b) Enter a unit vector p? perpendicular to v?.
NOTE: Enter your answer in the form ai? + bj?.
Enter the exact answer, or round to three decimal places.
v? = [? i + ? j]

Added by Milagros O.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

08/12/2022

Step 1

Step 1:** Calculate the unit vector \( \mathbf{u} \) in the same direction as \( \mathbf{v} = 3i + 7j \): \[ \mathbf{u} = \frac{\mathbf{v}}{|\mathbf{v}|} = \frac{3i + 7j}{\sqrt{3^2 + 7^2}} = \frac{3i + 7j}{\sqrt{58}} = \frac{3}{\sqrt{58}}i + \frac{7}{\sqrt{58}}j Show more…

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(a) Enter a unit vector u in the same direction as v = 3i + 7j. NOTE: Enter your answer in the form ai + bj. Enter the exact answer, or round to three decimal places. (b) Enter a unit vector p perpendicular to v. NOTE: Enter your answer in the form ai + bj. Enter the exact answer, or round to three decimal places.