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# when a scaler quantity is multiplied by a vector then resultant is scaler or vector?

3 years ago

When a vector is multiplied by a scalar quantity, then the magnitude of the vector changes in accordance with the magnitude of the scalar but the direction of the vector remains unchanged.

Suppose we have a vector a, then if this vector is multiplied by a scalar quantity k then we get a new vector with magnitude as |ka |and the direction remains same as the vector a if  k is positive and if  k is negative then the direction of kbecomes just opposite of the direction of vector a .

3 years ago
The resultant is vector ;multiplying scalar only alter with vector magnitude and if scalar is negative it can make the direction opposite .NOTE:If we multiply 0 as scalar we get scalar not vector hence zero is exception.