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Grade 12Vectors

SHOW AND EXPLAIN ME THE ADDATION IN VECTORS

Profile image of ADARSHA CHATTERJEE CHATTERJEE
15 Years agoGrade 12
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4 Answers

Profile image of manu  saxena
15 Years ago
Two vectors can be added together to determine the result (or resultant).Vector addition involves finding vector components, adding them and finding the polar form of the resultant.
Profile image of Neer Varshney
15 Years ago

Its very easy respective elements are added:

like consider two matrices of 3*3. 

1 2 3              3 2 1

4 5 6    and   6 5 4

7 8 9             9 8 7

Then there add. will be:

4 4 4

10 10 10 

16 16 16. 

I hope u got it . Add first first , 2nd 2nd, 3rd 3rd and so on.

'

Profile image of yash agarwal
ApprovedApproved Tutor Answer15 Years ago

Its very easy.

Suppose the vectors are given in their resolved forms like 2i+3j+5k and 1i+2j+4k

Just add the x,y and z components like this>>>

(2+1)i+(3+2)j+(5+4)k=3i+5j+9k this is your resultant vector.

its magnitude is sq.root of 9+25+81.

Or u can add the vectors graphically.Just position them head to tail and the resutant

will be from the empty tail to empty head.

Profile image of xyz xz
15 Years ago

IF A = ai+bj+ck and B = xi+yj+zk  where i,j,k represent unit vectors along x, y and z direction respectively

then

(A+B) = (a+x)i + (b+y)j + (c+z)k

magnitube of (A+B), IA+BI = (IAI2 + IBI2 + 2ABcos theta)1/2

 

i hope that u got a clear idea about addition of vectors...........Smile