Find the value of lambda which makes the...

Find the value of `lambda` which makes the vectors ` vec a ,\ vec b` and ` vec c` coplanar, where ` vec a=2 hat i-\ hat j+\ hat k ,\ vec b=\ hat i+\ 2 hat j-\ 3 hat k` and ` vec c""=3 hat i-\ lambda\ hat j+5 hat k`

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Find the value of lambda , which makes the vectors vec a ,\ vec b and vec c coplanar, where vec a=\ hat i+3 hat j+4 hat k ,\ \ vec b=2 hat i+lambda hat j+2 hat k and vec c=4 hat i-7 hat j+10 hat k

Find the projection of vec b+ vec c on vec a where vec a=2 hat i-\ 2 hat j+\ hat k ,\ vec b=\ hat i+\ 2 hat j-\ 2 hat k and vec c=2 hat i-\ hat j+\ 4 hat k

Find lambda so that the vectors vec a=2 hat i- hat j+ hat k ,\ vec b= hat i+2 hat j-3 hat k\ a n d\ vec c=3 hat i+lambda hat j+5 hat k are coplanar.

Find the projection of vec b+ vec c on vec a , where vec a = 2 hat i-2 hat j+ hat k , vec b = hat i+2 hat j-2 hat k and vec c=2 hat i- hat j+4 hat k .

Find the projection of vec b+ vec c on vec a where vec a=7 hat i- vec j+8 hat k ,\ \ vec b=\ hat i+2 hat j+3 hat k and vec c= hat j+4 hat k

Find vec a.( vec bxx vec c)\ if\ vec a=2 hat i+ hat j+3 hat k ,\ vec b=- hat i+2 hat j+ hat k\ a n d\ vec c=3 hat i+ hat j+2 hat kdot

Find [ vec a\ vec b\ vec c] , when : vec a= hat i-2 hat j+3 hat k ,\ vec b=2 hat i+ hat j- hat k\ a n d\ vec c= hat j+ hat k .

Write the projection of vec b+ vec c\ on\ vec a , when vec a=2 hat i-2 hat j+ hat k ,\ vec b= hat i+2 hat j-2 hat k\ a n d\ vec c=2 hat i- hat j+4 hat kdot

Find the value of lambda so that the following vectorts are coplanar: vec a=2 hat i- hat j+ hat k ,\ vec b= hat i+2 hat j-3 hat k ,\ vec c=lambda hat i+lambda hat j+5 hat kdot

For what value of lambda are the vector vec a\ a n d\ vec b perpendicular to each other? Where; vec a=2 hat i+3 hat j+4 hat k\ a n d\ vec b=3 hat i+2 hat j-lambda hat k

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