Question
ii) Find the vector equation of the plane determined by the points (1, 0, −1), (0, 1, 1) and (−1, 1, 0).
Answer :
Word Count : 340
To find the vector equation of the plane passing through the given points \( A(1,0,-1) \), \( B(0,1,1) \), and \( C(-1,1,0) \), follow these steps: ### Step 1: Find Two Direction Vectors The direction vectors for the plane can be obtained by subtracting the position vectors: \[ \overrightarrow{AB} = B - A = (0 - ____ ______ ______ ________ __________.
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To find the vector equation of the plane passing through the given points \( A(1,0,-1) \), \( B(0,1,1) \), and \( C(-1,1,0) \), follow these steps: ### Step 1: Find Two Direction Vectors The direction vectors for the plane can be obtained by subtracting the position vectors: \[ \overrightarrow{AB} = B - A = (0 - ____ ______ ______ ________ __________.
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