Question: Need step solution. Vectors. O The diagram above shows part of the structure of a modern art museum designed by Marcus, with a horizontal base

Need step solution. Vectors.

Need step solution. Vectors. O The diagram above shows part of the

O The diagram above shows part of the structure of a modern art museum designed by Marcus, with a horizontal base OAB and vertical wall OADC. Perpendicular unit vectors i, j, k are such that i and k are parallel to Of and OC respectively. The walls of the museum BCD and ABD can be described respectively by the equations L r . -5 a (i) Write down the distance of A from O. [1] (ii) Find the vector equation of the intersection line of the two walls BCD and ABD. [3] (iii) Marcus wishes to repaint the inner wall ABD. Find the area of this wall. [3] Suppose Marcus wishes to divide the structure into two by adding a partition such that it intersects with the walls BCD and ABD at a line. This partition can be described by the equation 2x - 7y+ az = B, where a, BER. (iv) Find the values of a and B. [2] question's [1] not clear [(i) OA = 14 (ii) r= -8 +7 1 ,yER (iii) 51.8 (iv) a =5, B=64] 0

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