Asked by Ismail
Check whether the 3 vectors ar coplanar or not
A= t+j+k , B= i+3j+k , C= 2i+2j+2k
A= t+j+k , B= i+3j+k , C= 2i+2j+2k
Answers
Answered by
Arora
If three vectors are coplanar, their scalar triple product is zero. Give it a go, and someone will check your work :)
Answered by
Damon
I assume you mean A = i+j+k
Is A X B in the same direction as A X C?
You can work it out but by inspection you can see that vector A is the same direction as vector C and therefore, A and B (or C and B) define a plane.
Is A X B in the same direction as A X C?
You can work it out but by inspection you can see that vector A is the same direction as vector C and therefore, A and B (or C and B) define a plane.
Answered by
Ismail
No it's A = t+j+k
Answered by
Damon
well, we know they are coplanar if t = 1
not if not
not if not
Answered by
Ismail
Thanks .. thats what i was doubtful about !!!
Answered by
Damon
well it is very difficult for A to be perpendicular to both B and C otherwise
because j + k and 3 j+k just do not work :)
because j + k and 3 j+k just do not work :)
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