Give an example for multiplication of a vector by a scalar.
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Product of vector with scalar - example
The product of a scalar with vector is always a vector. Example: The product of mass 'm' and acceleration a gives rise to a vector quantity 'force'. The product of mass 'm' and velocity v gives rise to a vector quantity 'momentum'.
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Suppose we have a vector \overrightarrow {a} , then if this vector is multiplied by a scalar quantity k then we get a new vector with magnitude as | \overrightarrow {ka} |and the direction remains same as the vector \overrightarrow {a} if k is positive and if k is negative then the direction of k becomes just opposite..
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