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Thank you for visiting A vector has an x component of 25 5 units and a y component of 36 6 units Find the magnitude and direction of this. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

A vector has an x-component of -25.5 units and a y-component of 36.6 units.

Find the magnitude and direction of this vector.

Answer :

the magnitude and direction of this vector is cos −1√ (−5/ 89)

Magnitude is simply "distance or quantity" in the context of physics. In terms of motion, it shows the absolute or relative size, direction, or movement of an object. It is used to describe something's size or scope. Magnitude in physics typically refers to a size or quantity.

A constant quantity's magnitude is a numerical value for the quantity expressed in terms of a unit of measurement. For instance, the real number 2000 is the magnitude of the quantity 2 kilometers in the unit-of-measure meter.

Magnitude = (25) 2 + (40) 2 =5√89

Angle with the x-axis equals tan√ 1(y/x).

=tan −1 √ (40/−25)

=tan −1√ (−8/5)

=cos −1√ (−5/ 5 √2+6/2)

=cos −1√ (−5/ 89)

Learn more about magnitude here-

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Rewritten by : Jeany