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For Problems 14-15, determine all the values of constant
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- Show that the three points (x1,y1)(x2,y2) and (x3,y3) in the a plane are collinear if and only if the matrix [x1y11x2y21x3y31] has rank less than 3.arrow_forward10. (a) The non-zero vectors a, b andc are such that axb exa. Given that b -e, find a linear relationship between a, b and c. (b) The variable vector v satisfies the equation vx(i-3k)= 2j. Find the set of vectors v and [(b) v = HER] fully describe this set geometrically.arrow_forward4. (a) Determine if the four points P1: (1,1,- 2), P2: (4,0,- 3) P3 :(1,-5,10), and P4 : (-7,2, 4) lie on the same plane. (b)Two vectors are parallel if and only if they are nonzero scalar multiple of each other's. Find a vector ( b )that is parallel to a = 3i + 7j and has magnitude 2.arrow_forward
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