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question 1 to 8 If the following three vectors are coplanar, then find the value of x; # U= itj+ k, V = 21 -4k

question 1 to 8

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If the following three vectors are coplanar, then find the value of x; # U= itj+ k, V = 21 -4k and W = i+ xj + 3kGiven the following two points A and B on a straight line, determine both length and mid- point of line AB: A (-2 B4-, 1\fIdentify the type of the conic section described by the following equation: x2 + 4y =4Find the point of intersection of the following straight lines: x - 3y = 4 and 3xty - 2 =0The value of x, for which the following three points are collinear is: * A(-3,1), B(x, -1) and C(-15, -2)If the scalar product of the following two vectors is -3, then find the value of x: A = 31 - 4k and B = -xi - 5jDetermine the equation of the straight line through the point (-1,3), and parallel to the line- * 2x +7y - 8=0

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