When a vector is multiplied by a scalar, the result is another vector of a different length than the length of the original vector. In a rectangular system, the magnitude of a vector is the square roo...When a vector is multiplied by a scalar, the result is another vector of a different length than the length of the original vector. In a rectangular system, the magnitude of a vector is the square root of the sum of the squares of its components. The scalar x-component of a vector can be expressed as the product of its magnitude with the cosine of its direction angle, and the scalar y-component can be expressed as the product of its magnitude with the sine of its direction angle.
