Adding two vectors (Using two different methods)?

M

mests

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vector A = 3i + 15j + 10k , vector B = - 35i + 45j + 20k

Method 1 would be as simple as :
R "or A+B" = (3-35)i + ( 15+45)j + (10+20)k = -32i + 60j + 30k

What's another method to find A + B ?
 
Adding two vectors (Using two different methods)?

vector A = 3i + 15j + 10k , vector B = - 35i + 45j + 20k

Method 1 would be as simple as :
R "or A+B" = (3-35)i + ( 15+45)j + (10+20)k = -32i + 60j + 30k

What's another method to find A + B ?​
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I'm not sure what your teacher is looking for, but you can add them graphically as well as algebraically. If you graph both A + B and B+ A, you'll find that they produce the same resultant. Graphing is problematic with 3-D vectors however.
 
When the vectors are expressed in i, j & k components - the only sane way to add those is to add up i components & add up j components, etc.

Other methods are "contrived" to torture students and to show off superiority of the i-j-k method.
 
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