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How does the volume of a cube change if its dimenstions are doubled?
The volume is multiplied by 2*2*2 = 8
What is gradient of a vector field?
It is the rate of change in the vector for a unit change in the direction under consideration. It may be calculated as the derivative of the vector in the relevant direction.
Find a vecot equivalent to the vector PQ with its initial point at the origin and find the magnitude of the vector P equals -4 -3 Q equals -2 2?
vector PQ where P(-4, -3) and Q(-2, 2) equivalent vector P'Q' where P'(0, 0) and Q'(2, 5) the magnitude doesn't change so we can compute |P'Q'| = √(22 + 52) = √29
In a 2 - dimensional cartesian coordinate system the y-component of a given vector is equal to the vector magnitude multiplied by which trigonometric function with respect to the angle between vector?
I disagree with the last response. It is implied that the angle you are speaking of is the angle between the x-axis and the vector (this conventionally where the angle of a vector is always measured from). The function you are asking about is the sine function. previous answer: This question is incorrect, first of all you have to tell the angle between vector and what other thing is formed?
When you double a vector does it change the heading?
No, the magnitude of the vector will double, but its direction will remain the same.
