Solve `|( 0,0,7), (1,2,3), (0,8,2)|`

Plot the following pairs of points on the axes and join them with line segment (1,0), (0,9), (2,0), (0,8), (3,0), (0,7), (4,0), (0,6) (5,0), (0,5) (6,0), (0,4) (7,0) (0,3), (8,0), (0,2), (9,0), (0,1)

Show that ( -2,3,5) ( 1,2,3) (7,0,-1) are collinear

Solve x^(2)+2=0

Using Cofactors of elements of second row, evaluate Delta ={:|( 5,3,8),( 2,0,1),( 1,2,3) |:}

The direction ratios of a normal to the plane passing through (0,0,1),(0,1,2) and (1,2,3) are

Evaluate: |(3, -1, -2),(0,0,-1),(3,-5,0)|

If A=[{:(,0,6,7),(,-6,0,8),(,7,-8,0):}], B=[{:(,0,1,1),(,1,0,2),(,1,2,0):}] and C=[{:(,2),(,-2),(,3):}] Calculate AC, BC and (A+B)C. Also verify that (A+B)C=AC+BC.

If A=[{:(,0,6,7),(,-6,0,8),(,7,-8,0):}], B=[{:(,0,1,1),(,1,0,2),(,1,2,0):}], C=[{:(,2),(,-2),(,3):}] calculate AC, BC and (A+B)C. Also verify (A+B)C=AC+BC

Show that (i) [(5,-1),(6,7)][(2,1),(3,4)] ne [(2,1),(3,4)][(5,-1),(6,7)] (ii) [(1,2,3),(0,1,0),(1,1,0)][(-1,1,0),(0,-1,1),(2,3,4)] ne [(-1,1,0),(0,-1,1),(2,3,4)][(1,2,3),(0,1,0),(1,1,0)]

Given, A=[{:(1,3,5),(-2,0,2),(0,0,-3):}], B = [{:(0,3),(-2,0),(0,-4):}] and C=[{:(4,1,-2),(3,2,1),(2,-1,7):}], find (whichever defined) (i)A+B. (ii)A+C.