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{"ops":[{"insert":"Given the point A ( 1,1,1) ,B(2,3,4) ,C(3,-1,4) , P(3,0,-3) and Q( 5,1, -6)\ni.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0Find the perimeter of triangle ABC\n\u00a0"},{"attributes":{"bold":true},"insert":"ii"},{"insert":". Find the area of the triangle CPQ \niii.Write the angles of the triangle BPQ \niv. Write the co-ordinate vector\u00a0of the vector PQ^\u2911 Relative to the basis:{e1=(1,1,1),e2=(-1,0,1), e3=(0,1,1)}\n"},{"attributes":{"bold":true},"insert":"v"},{"insert":". Calculate the inner product ( scalar product or dot product) between CP^\u2911 and PQ^\u2911 \nvi.Calculate the vector product ( Cross product or Gibbs vector product ) between AC^\u2911 and AP\u00a0^\u2911\ni.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0"},{"attributes":{"bold":true},"insert":"."},{"insert":" Calculate the scalar triple product ( box product or compound product ) between AB^\u2911,CP^\u2911 and PQ^\u2911\nii.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0"},{"attributes":{"bold":true},"insert":"vii."},{"insert":" Find the volume of triangular prism\u00a0defined by the points BCDP \niii.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0Find the volume of Tetrahedron\u00a0defined by CDPQ\n"}]}
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