Show that the lines \( \vec{r}=(2 \hat{j}-3 \hat{k})+\lambda(\hat{i}+2 \hat{j}+3 \hat{k}) \) and...

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Show that the lines \\(\\vec{r}=3 \\hat{i}+2 \\hat{j}-4 \\hat{k}+\\lambda(\\hat{i}+2 \\hat{j}+2 ....

Show that the lines `vec(r )=(hat(i) +2hat(j) +3hat(k)) + lambda(2hat(i) +3hat(j) +4hat(k)) \" and

Prove that the line \( \vec{r}=(\hat{i}+\hat{j}-\hat{k})+\lambda(3 \hat{i}-\hat{j}) \) and \( \v...

find the shortest distance between the lines r=i+2j+k+λ(i-j+k) and r=2i-j-k+μ(2i+j+2k)

The vectors \( \hat{i}+2 \hat{j}+3 \hat{k}, \lambda \hat{i}+4 \hat{j}+7 \hat{k},-3 \hat{i}-2 \ha...

Find the shortest distance between lines : \( \vec{r}=6 \hat{i}+2 \hat{j}+2 \hat{k}+\lambda(\hat...

Find the angle between the line `vec r = (2 hat i-hat j +3 hat k)+ lambda (3 hat i-hat j+2 hat k )`

Find the angle between the pair of lines `r=3hat(i)+2hat(j)-4hat(k)+lambda(hat(i)+2hat(j)+2hat(k))`