Answer with Step-by-step explanation:
We are given that
u+ v and u-v are orthogonal
We have to prove that u and v must have the same length.
When two vector a and b are orthogonal then
By using the property
We know that
Magnitude is always positive
When power of base on both sides are equal then base will be equal
Therefore,
Hence, the length of vectors u and v must have the same length.
Answer:
2.515
Step-by-step explanation:
1. First you add the equation for a cone and a half sphere
(1/3*pi*r^2*h)+(1/2*4/3*pi*r^3)
2. You replace h with 2*r2 because height is 2*Diameter
(1/3*pi*r^2*r2)+(1/2*4/3*pi*r^3)
3. You make the equation equal 100
(1/3*pi*r^2*r2)+(1/2*4/3*pi*r^3)=100
4. Solve for
r=2.515
Answer:
y = 6
x = 200
Quick Explanation:
The horizontal arrowed line labeled <em>t</em> would be the <em>y </em>axis, and according to the dot on the graph, it's on the 6. The vertical arrowed line labeled <em>h </em>would be the <em>x </em>axis, and the dot tells you the number is 200. Easy peasy, just remember the <em>x </em>axis is vertical and the <em>y</em> axis is horizontal and it'll help you find the location of any dot.
Equation of a circle:
(x - h)^2 + (y - k)^2 = r^2
In this case:
<span>center (2,7) and radius 4 so h = 2, k = 7 and r = 4
</span>Equation:
(x - 2)^2 + (y - 7)^2 = 4^2
(x - 2)^2 + (y - 7)^2 = 16
Hope it helps.
