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Find the vector and Cartesian equations of the plane containing the two lines ` vec r=2 hat i+ hat j-3 hat k+lambda( hat i+2 hat j+5 hat k)a n d , vec r=3 hat i+3 hat j+2 hat k+mu(3 hat i-2 hat j+5 hat k)`

Text Solution

Verified by Experts

Normal vector of plane would be perpendicular to
both the lines say `l_1​ & l_2`​
=> parallel to `l_1​​×l_2`​ ​
So,`l_1​×l_2`​
`​ =∣[i,j,k],[1,2,5],[3,-2,5]|`
`=20i+10j​−6k `
...
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