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4. fx-47+2j-=-3+5)+4k, and --7-7+2k, determine 2x+4y- |f 4i jk If (4 marks) 5. Determine an equation for the line that has the same x-
4. fx-47+2j-=-3+5)+4k, and --7-7+2k, determine 2x+4y- |f 4i jk If (4 marks) 5. Determine an equation for the line that has the same x- and z-intercepts as the plane with equation 2x+5y-z+7=0. Give your answer in vector form. (4 marks) 6. Determine the equation of the line, in vector form, that intersects the two planes created by the following: (6 marks) 1 x-y+z = 3 2x + 2y - 2z = 3 7. Calculate the angle between |x| = 7 and |5|= 3 when xy=10.5 (3 marks) 8. Express c = (-1,2) as a linear combination of a = (-11,7) and b = (-3,1). Explain why the set of vectors spans R (6 marks)
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