If ~v = hv1, v2, v3i and ~w = hw1, w2, w3i are vectors and c is a scalar, then
(a) c~v = hcv1, cv2, cv3i
(b) ~v + ~w = hv1 + w1, v2 + w2, v3 + w3i
(c) ~v − ~w = hv1 − w1, v2 − w2, v3 − w3i.
Step-by-step explanation:
The formula for the volume of a sphere is V = 4/3 πr³.
So
Given
Volume (v) = 57ft³






![r = \sqrt[3]{13.6}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%5B3%5D%7B13.6%7D%20)
Therefore r = 2.4 ft
I gave my answers by rounding off. so if you don't round off then it's answer is 2.3 ft
Answer:
Two non zero vectors, a and b are parallel when they are scalar multiples of each other such that a = c·b where c is a scalar quantity.
Therefore, in order to find a vector that is parallel to the vector, b = (-2, -1), we multiply the vector, b by a scaler quantity
Step-by-step explanation:
Given that the vector b = (-2, -1) can be written as follows;
b = -2·i - j, we have;
= √((-2)² + (-1)²) = √5
Therefore, we have;
The coordinates of the endpoint of the vector are (-2, 0) and (0, -1)
Therefore, the slope of the vector = (-1 - 0)/(0 - (-2)) = -1/2
The slope of parallel vectors are equal, which gives the slope of the parallel vector = -1/2 = (λ × (-1 - 0))/(λ ×(0 - (-2))
Therefore, a parallel vector is obtained from a vector by multiplying with a scaler product.
Answer M=-2
Because when it’s negative it’s going from left to right and when it is to that means 2 up 1 to the right
It is 93 million miles away from earth. hope that helped