Question

what is intersecting point of AB and RP​

Answer 1

Answer:

Step-by-step explanation:

Find he point of intersection of AB and CD , where A(6,−7,0),B(16,−19,−4),C(0,3,−6) and D(2,−5,10).

Let AB and CD intersect at P.

Let P divides AB in ratio λ:1 and CD in ratio μ:1.

Then coordinates of P are (

λ+1

16λ+6

,

λ+1

−19λ−7

,

λ+1

−4λ

) or (

μ+1

2μ

,

μ+1

−5μ+3

,

μ+1

10μ−6

)

comparing we have λ=−

3

1

orμ=1

Using these values, we get point of intersection as (1, -1, 2).

Here it is also proved that lines AB and CD intersect or points A,B,C and D are coplanar