2) Let A be the triangle with vertices the points P=(3, 1,-1). Q=(2,0, 3) and R=(1,1,1)....

 

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2) Let A be the triangle with vertices the points P=(3, 1,-1). Q=(2,0, 3) and R=(1,1,1). Determine whether A is a right angle triangle. If it is not, explain with reason, why? 3) Let ū=< 0,1,1>, V =< 2,2,0> and < -1,1,0> be three vectors in standard form. (a) Determine which two vectors form a right angle triangle? (b) Find 0:= Uw, the angle between the given two vectors. 4) Let x < 0. Find the vector ñ=< x, y, z>that is orthogonal to all three vectors Ū=< 1,1, -2>, V =< -1,2,0> and W=< -1,0,1>. 5) Find a unit vector that is orthogonal to both ū=< 0,-1,-1> and < 1,0,-1 >. 2) Let A be the triangle with vertices the points P=(3, 1,-1). Q=(2,0, 3) and R=(1,1,1). Determine whether A is a right angle triangle. If it is not, explain with reason, why? 3) Let ū=< 0,1,1>, V =< 2,2,0> and < -1,1,0> be three vectors in standard form. (a) Determine which two vectors form a right angle triangle? (b) Find 0:= Uw, the angle between the given two vectors. 4) Let x < 0. Find the vector ñ=< x, y, z>that is orthogonal to all three vectors Ū=< 1,1, -2>, V =< -1,2,0> and W=< -1,0,1>. 5) Find a unit vector that is orthogonal to both ū=< 0,-1,-1> and < 1,0,-1 >.

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52 To determine whether the triangle PQR is a rightangle triangle we need to check if any of its angles measure 90 degrees One way to do this is by examining the dot product of the vectors formed by t... View the full answer