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4. Given the two vectors, v =[4,-2] and w=[-1,6], find the Cartesian form of the following, a 4v -3w [2] b) a unit vector parallel
4. Given the two vectors, v =[4,-2] and w=[-1,6], find the Cartesian form of the following, a 4v -3w [2] b) a unit vector parallel to w [2] c) a vector parallel to w with magnitude 9 [1] 5. a ) On a Cartesian plane, illustrate the fact that the vector p =[7,-3] can be expressed as a linear combination of the vectors v =[2, 1] and w=[-1,4] [2] b) Express p=[7,-3] as a linear combination of v = [2, 1] and w= [-1,4] [5] c) Express a =[-6,3] as a linear combination of the standard basis vectors i = [1,0] and 7 = [0,1]. [1]
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