Find the vector equation of the followin...

Find the vector equation of the following planes in non parametric form: ` -> r=(lambda-2mu) hat i+(3-mu) hat j+(2lambda+mu) hat k`

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Find the vector equation of the following plane in non-parametric form: vec r=(lambda-2mu) hat i+(3-mu) hat j+(2lambda+mu) hat k .

Find the vector equation of the following planes in non parametric form: -> r=(2 hat i+2 hat j- hat k)+lambda( hat i+2 hat j+3 hat k)+mu(5 hat i-2 hat j+7 hat k)dot

Find the vector equation of the following planes in Cartesian form: vec r= hat i- hat j+lambda( hat i+ hat j+ hat k)+mu( hat i-2 hat j+3 hat k)dot

Find the vector equation of the following plane in scalar product form: vec r=( hat i- hat j)+lambda( hat i+ hat j+ hat k)+mu( hat i-2 hat j+3 hat k) .

Find the vector equation of the following plane in scalar product form: vec r=( hat i- hat j)+lambda( hat i+ hat j+ hat k)+mu( hat i-2 hat j+3 hat k)dot

Find the vector equation of the following planes in scalar product form ( vecr . vecn =d): r= hat i- hat j+lambda( hat i+ hat j+ hat k)+mu(-4 hat i-2 hat j+3 hat k)dot

Find the vector equation of the following planes in scalar product form ( vec rdot vec n=d): vec r=(2 hat i- hat k)+lambda hat i+mu( hat i-2 hat j- hat k)dot

Write the cartesian equation of the following line given in vector form : vec r=2 hat i+ hat j-4 hat k+lambda\ ( hat i- hat j- hat k)

Find the shortest distance between the following pairs of line whose vector equation are: vec r=(lambda-1) hat i+(lambda+1) hat j-(1+lambda) hat k\ a n d\ vec r=(1-mu) hat i+(2mu-1) hat j+(mu+2) hat k .

Find the shortest distance between the following pairs of line whose vector equation are: vec r=(8+3lambda) hat i-(9+16lambda) hat j+(10+7lambda) hat k and\ vec r=15 hat i+29 hat j+5 hat k+ mu(3 hat i+8 hat j-5 hat k)dot

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