0
If the scalar is
> 1 the resultant vector will be larger and in the same direction.
= 1 the resultant vector will be the same as the original vector.
between 0 and 1 the resultant vector will be smaller and in the same direction.
= 0 the resultant vector will be null.
If the scalar is less than 0, then the pattern will be the same as above except that the direction of the resultant will be reversed.
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A vector of components ( and minus3 and minus2) is multiplied by the scalar value of -6. What is the magnitude and direction of the resultant vector?
To find the resultant vector when multiplying the vector components (3, -3, -2) by the scalar -6, we perform the scalar multiplication: (-6)(3, -3, -2) = (-18, 18, 12). The magnitude can be calculated using the formula ( \sqrt{(-18)^2 + (18)^2 + (12)^2} ), which equals ( \sqrt{1080} ) or approximately 32.8. The direction of the resultant vector is opposite to the original vector due to the negative scalar, meaning it points in the direction of the vector (-3, 3, 2).
What is the product of two vector quantities?
It depends on the type of product used. A dot or scalar product of two vectors will result in a scalar. A cross or vector product of two vectors will result in a vector.
What is a scalar times a vector?
A scalar times a vector is a vector.
Why work is scalar but product of two vector?
The product of two vectors can be done in two different ways. The result of one way is another vector. The result of the other way is a scalar ... that's why that method is called the "scalar product". The way it's done is (magnitude of one vector) times (magnitude of the other vector) times (cosine of the angle between them).
How is velocity diffrent from speed?
Velocity is a vector, and so it has two components -- magnitude (speed) and direction. Speed is a scalar, and it is the magnitude of velocity, a vector.
