Express the equations of the lines r · (i −j) + 7 = 0,r · (i + 3j) − 5 = 0 in parametric forms and hence find the position vector of their point of intersection.

Alyce Wilkinson

Alyce Wilkinson

Answered question

2020-11-02

Express the equations of the lines
r · (i −j) + 7 = 0,r · (i + 3j) − 5 = 0 in parametric forms and hence find the position
vector of their point of intersection.

Answer & Explanation

Cullen

Cullen

Skilled2020-11-03Added 89 answers

Express the equation of the lines
over{r}(widei^widej^+7=0,over{r}(widei^+3widej^)5=0
in parametric form
Letwider^=xwidei^+ywidej^+zwidek^
wider^(widei^widej^)+7=0
(xwidei^+ywidej^+zwidek^)(widei^widej^)+7=0
LeL1:xy+7=0
Andwider^(widei^+3widej^)5=0
(xwidei^+ywidej^+zwidek^)(widei^+3wideab^)5=0
LeL2x+3y5=0
Line L1 is in direction of widei^widej^(v)
And L1 also passes through (-3,4)(A)
Vector equation of L1X=A+tV
[x,y]=[3,4]+t[1,1]
[x,y]=[3,4]+t[t,t]
[x,y]=

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