A vector is defined as having magnitude of 15 m and a direction of East. Multiply this vector by the scalar value of -6. What is the resultant vectors magnitude and direction?
To find the resultant vector's magnitude and direction, we need to first multiply the original vector's magnitude by the given scalar value.
Given:
Magnitude of the vector: 15 m
Scalar value: -6
Multiplying the magnitude of the vector by the scalar value gives us:
Resultant magnitude = 15 m * (-6) = -90 m
The resultant vector has a magnitude of -90 m.
Next, to determine the direction of the resultant vector, we consider the sign of the scalar value. Since the scalar value is negative (-6), it means we need to reverse the direction of the original vector.
The original vector's direction is East. Reversing it gives us the direction West.
Therefore, the resultant vector has a magnitude of 90 m and a direction of West.