# The line of intersection of the planes and , is: Option: 1 $-2 \hat{i}+7 \hat{j}+13 \hat{k}$ Option: 2 $2 \hat{i}+7 \hat{j}-13 \hat{k}$ Option: 3 $-2 \hat{i}-7 \hat{j}+13 \hat{k}$ Option: 4 $-2 \hat{i}+7 \hat{j}+13 \hat{k}$

As we have learned

Equation of line as intersection of two planes -

Let the two intersecting planes be

and

then the parallel vector of line formed their intersection can be obtained by

and points can be obtained by putting and solving

and

say

Now the equation will be

-

putting z = 0

3x-y = 1    and   x + 4y = 2

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