Question

The x component of vector is 5.3 units, and its y component is -2.3 units. The angle that vector makes with the x-axis is closest to?

Answer 1

The angle that vector makes with the x-axis is closest to $340^\circ$.

What is a vector?

An item with both magnitude and direction is referred to be a vector. A vector can be visualized geometrically as a directed line segment, with an arrow pointing in the direction and a length equal to the magnitude of the vector. The vector points in a direction from its tail to its head.

If the magnitude and direction of two vectors match, they are the same vector. This indicates that if we take a vector and move it to a different point (without rotating it), the vector we finish up with is the same vector we started with.

Given,

$x$-component of vector = 5.3

$y$-component of vector = -2.3

angle = $tan^{-1}(\frac{y}{x})$

angle = $tan^{-1}(\frac{-2.3}{5.3} )$

angle = $340^\circ$

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