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The magnitude of the vector v is 5, while the direction of the vector v from the positive x-axis is 135°.

What is a vector?

In physics, a vector is a quantity that has both magnitude and direction. It is often represented by an arrow with the same direction as the amount and a length proportionate to the magnitude of the quantity. A vector, although having magnitude and direction, does not have a location.

Given the value of the vector v is 5(cos135° i + sin135° j). Therefore, The magnitude of the vector v is 5, while the direction of the vector v from the positive x-axis is 135°.

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