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Let u = ⟨1, 5⟩, v = ⟨–3, 3⟩, and w = ⟨2, 3⟩. what is the direction angle of 4w – (2u v)?

Sagot :

The direction angle of 4w- (2u v) is equal to 353.7°.

Direction angle of a vector

A vector's direction angle is the angle formed by the positive x-axis and the vector v. The arctangent of the ratio between the vertical and horizontal components of the vector, v=ai+bj, can be used to determine the direction angle,, of the vector.

What is the formula for direction?

Use the formula = arctan(y/x) to determine the direction of the vector v = (x, y), where is the smallest angle the vector makes with the horizontal axis and x and y are its component vectors.

Does an angle have a direction?

The angle a vector creates with a horizontal line is used to determine the vector's direction. The formula:where x is the horizontal change and y is the vertical change, gives the direction angle of a vector.

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