Given the points P(-1,3,-7), Q(0,4,-5), and R(-3,6,-1). (a) Find v, a vector of length 5 in...

    

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Given the points P(-1,3,-7), Q(0,4,-5), and R(-3,6,-1). (a) Find v, a vector of length 5 in the direction of PQ. (b) Find sin, where is the angle between the vectors PQ and PR. Do not actually calculate t angle 0. Find sin by using a known theorem of vectors. (c) Find the equation of the plane containing the points P, Q, and R. Write it in standard form. Given the points P(-1,3,-7), Q(0,4,-5), and R(-3,6,-1). (a) Find v, a vector of length 5 in the direction of PQ. (b) Find sin, where is the angle between the vectors PQ and PR. Do not actually calculate t angle 0. Find sin by using a known theorem of vectors. (c) Find the equation of the plane containing the points P, Q, and R. Write it in standard form.