6. Given the points A = (0,0), B = (5,1), C = (2,6) on the plane....

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Question

6. Given the points A = (0,0), B = (5,1), C = (2,6) on the plane. Use a determinant to find the area of the triangle ABC. 7.

3. Given that 8 - ...) is a basis for a vector space V. Determine if 3 - + - +213 + 3) is also a for V 9. Find the change of

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Answer 1

Answer #1

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6.

Given

Vertices of triangles A= (0,0) , B = (5,1) and C = (2,6)

Area of triangle =( ½) 0 0 0 1 5 1 1 1 2 6 1

= (1/2) [ 0 – 0 + 1(5x6 - 1x2]

= (1/2) [ 30 – 2]

= (1/2) [ 28]

= 14

Thus the area of triangle = 14

Answer 2

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