Question: 3. a Check if the three points (1, 2, 3). (4. 9. 1). (5, 2, 6) in R$ form an acute angle triangle. Inner product

 3. a Check if the three points (1, 2, 3). (4.

3. a Check if the three points (1, 2, 3). (4. 9. 1). (5, 2, 6) in R$ form an acute angle triangle. Inner product on R3 is the usual dot product. b) Let A = and B = 4 Show that whatever be x, A and B can never xJ be similar matrices, a) On P, inner product is defined by multiplying two polynomials and integrating from 0 to 6. Find two polynomials of degree I which have norm 10. b) Find the transition matrix (change of basis matrix) from a to B. where a = (1, x, x } and p = [1,2 + x, 1 + x } are the bases for the vector space of polynomials of degree less than or equal to 2

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