Question: A triangle is defined by the points A(6,3,2), B(2,8,6), and C(7,k,2). The area of the triangle is sqrt (290.25). Determine the value of k. k=

A triangle is defined by the points A(6,3,2), B(2,8,6), and C(7,k,2). The area of the triangle is sqrt (290.25). Determine the value of k. k= or k=

The plane that passes through the point (5,0,2) and is perpendicular to both 3y+z=11 and 5x+3y+5z=35 has ------------ as its implicit equation.

Suppose vw=4 and ||vw||=2, and the angle between v and w is . Find

(a) tan=

(b) =

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