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12. A triangle is defined by the points A(0, 1, 2), B(1, 0, 2) and C(-1, 2, 0). Find angle A of this triangle.

          12. A triangle is defined by the points A(0, 1, 2), B(1, 0, 2) and C(-1, 2, 0). Find angle A of this triangle.
        
12. A triangle is defined by the points A(0, 1, 2), B(1, 0, 2) and C(-1, 2, 0). Find angle A of this triangle.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Please make sure to write the final answer in degrees. 12. A triangle is defined by the points A(0,1,2), B(1,0,2), and C(-1,2,0). Find angle A of this triangle. (4 marks)
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Transcript

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00:01 Okay, we are given three points and we are going to figure out if these actually form a right triangle.
00:09 So, and we wanted to know if that right triangle is at point c.
00:13 So if it was at point c, then we could make a vector between a and c and a vector between c and b, and then we could prove that they're actually at an angle of 90 degrees by looking at the dot product.
00:28 Because the cosine of 90 is zero, so that means our dot product needs to be zero.
00:35 So let's go ahead and figure out our vectors...
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