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Let vec a= hat i+ hat j+ hat k , vec b=...

Let ` vec a= hat i+ hat j+ hat k , vec b= hat i` and ` hat c=c_1 hat i+c_2 hat j+c_3 hat k` . Then, If `c_1=1` and `c_2=2,` find `c_3` which makes ` vec a , vec b` and ` vec c` coplanar. If `c_2=-1` and `c_3=1,` show that no value of `c_1` can make ` vec a , vec b` and ` vec c` coplanar.

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