Determine whether the statement below is true or false. Justify the nswer. The vector is in Rn. if || u ||^2 + || v ||^2 = || u + v ||^2, then u and v are orthogonal. A. The statement is true. By the Pythagoreanâ Theorem, two vectors u and v are orthogonal if and only if ||u+v||^2=||u||2+||v||2.
B. The statement is false. If ||u||^2+||v||^2= ||u+v||^2â, then u and v are orthogonal complements.
C. The statement is false. Two vectors u and v are orthogonal if uâ¢v=0. If ||u||^2+ ||v||^2= ||u+v||^2â, then uâ¢v=1.
D. The statement is true. By the definition of the innerâ product, two vectors u and v are orthogonal if and only if ||u+v||^2= ||u||^2+ ||v||^2.

Drag and drop the answers into the boxes to complete this informal argument explaining how to derive the formula for the volume of a cone. since the volume of a cone is part of the volume of a cylinder with the same base and height, find the volume of a cylinder first. the base of a cylinder is a circle. the area of the base of a cylinder is , where r represents the radius. the volume of a cylinder can be described as slices of the base stacked upon each other. so, the volume of the cylinder can be found by multiplying the area of the circle by the height h of the cylinder. the volume of a cone is of the volume of a cylinder. therefore, the formula for the volume of a cone is 1/3 1/2 1/3πr^2h 1/2πr^2h πr^2h πr^2

What is the area of the trapezoid shown ?

David leaves his house to go to school. he walks 200 meters west and 300 meters north. how far is david from his original starting point?