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Find the magnitude and direction angle θ, to the nearest tenth of a degree, for the given vector v. v = -4i - 3j

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asked Jul 17, 2016 in PRECALCULUS by anonymous
reshown Jul 18, 2016 by goushi

1 Answer

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Step 1:

The vector is image.

The standard form of the vector is image

Magnitude of the vector image.

Magnitude of the vector image

image

Magnitude is image

Step 2:

The vector is image

Direction angle is image.

Where image.

image

The vector is image lies in IV quadrant, image lies in IV quadrant.

The reference angle image

image

Direction angle is image

Solution :

Magnitude is image

Direction angle is image

answered Jul 18, 2016 by Anney Mentor

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