The dot product of two parallel vectors is equal to the algebraic multiplication of the magnitudes of both vectors. If the two vectors are in the same direction, then the dot product is positive. If they are in the oppos... More »

For each vector, the angle of the vector to the horizontal must be determined. Using this angle, the vectors can be split into their horizontal and vertical components using the trigonometric functions sine and cosine. T... More »

The resultant vector is calculated as the sum between two or more vectors. When adding vectors together, their direction and magnitude must be taken into account while calculating the resultant vector. More »

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To calculate the area of a parallelogram from vectors, find the cross product of the sides and vectors. The area equals the length of the cross product of two vectors. More »

It is not possible to find the cross product for two-dimensional vectors. The usual cross product in multivariable calculus is only defined for three-dimensional vectors. More »

For each vector, the angle of the vector to the horizontal must be determined. Using this angle, the vectors can be split into their horizontal and vertical components using the trigonometric functions sine and cosine. T... More »

Two vectors with unequal magnitudes cannot have a sum of zero. Two vectors can only add up to zero if the sum of all components equal zero. More »