Mathematics: Post your doubts here!

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Excuse me sir, but for (iii), how do u know point A is (5,0,0) ?? Why AB times (unit vector 2,-2,1) ??? Why use unit vector? Please do tell me.

Because the scalar product of (5, 0, 0) and the normal to the plane (2, -2, -1) equals 10, hence the point (5, 0, 0) lies on the plane. You can always choose another point if you want to, so long as the scalar product of that point and the normal to the plane equals 10. For example you could use ( 0, -5, 0).

With regards to AB dot unit vector of ( 2,-2,1), this uses the concept of projection vectors, and in this instance, the projection of the vector AB onto the normal of the plane.

Hope this helps. Peace.
 
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With regards to AB dot unit vector of ( 2,-2,1), this uses the concept of projection vectors, and in this instance, the projection of the vector AB onto the normal of the plane.

Hope this helps. Peace.[/quote]


Okay....i kinda get it now about the projection stuff. Thanks alot sir. If u have time, can u help me with ques 10(iii) and 6(i). Here
 

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can sum1 help me wid the q.10)b)ii) pls ??
 

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whitecorp sir pls help me out with q.6)ii) and also with 2 doubts dat i hav posted above...pls! :)
 

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