Consider the points in the plane P(10,8) and Q(-1, –7) Find a vector perpendicular to PQ and call it v. Sketch it on the plane above. Clearly label each point and the vector and show that it is perpendicular.

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A: Recall the following fact.

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A: point = (3,5,-7)n=0 i +1 j + 0 kCartesian equation of plane is Ax+By+Cz+D=0(A,B,C)=( 0,1,0)(x,y,z) =…

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Q: Suppose that the line e is represented by r(t) = (10+ 2t, 14 + 6t, 23 + 8t) and the plane P is…

A: Please refer the attached image for complete solution. THANK YOU.

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A: Question is solved.

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A: Explanation of the answer is as follows

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: Recall: Horizontal Component, a=v cos θ Vertical component, b=v sin θ Vector=ai+bj we have, |v|=5,…

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A: This is a question of Vector Algebra.

Q: Find an equation of the plane passing through the given point and perpendicular to the given vector.…

A: Equation of a plane perpendicular to a, b, c and passing through x0, y0, z0 is, ax-x0+by-y0+cz-z0=0

Q: / Let v = -4i + 3j. Find a vector that is half the length and points in the same direction as v

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