Answer to Question #336142 in Analytic Geometry for habibi

Question

Given the point A ( 1,1,1) ,B(2,3,4) ,C(3,-1,4) , P(3,0,-3) and Q( 5,1, -6)

i.      Find the perimeter of triangle ABC

 ii. Find the area of the triangle CPQ

iii.Write the angles of the triangle BPQ

iv. Write the co-ordinate vector of the vector PQ^⤑ Relative to the basis:{e1=(1,1,1),e2=(-1,0,1), e3=(0,1,1)}

v. Calculate the inner product ( scalar product or dot product) between CP^⤑ and PQ^⤑

vi.Calculate the vector product ( Cross product or Gibbs vector product ) between AC^⤑ and AP ^⤑

i.                  . Calculate the scalar triple product ( box product or compound product ) between AB^⤑,CP^⤑ and PQ^⤑

ii.                vii. Find the volume of triangular prism defined by the points BCDP

iii.             Find the volume of Tetrahedron defined by CDPQ

Answer 1

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