1.

using components methods, add the following vectorsvec(A) = A_(x) hat(i) + A_(y)hat(j) + A_(z) hat(k)vec(B) = B_(x) hat(i) + B_(y) hat(j) + B_(z) hat(k) .

Answer»

SOLUTION :The two vectors `vec(A) and vec(B)`can be expressed as in a Cartesian coordinate system .
`vec(A) = A_(x) hat(i) +A_(y)hat(j) +A_(Z) hat(k)`
`vec(B) = B_(x) hat(i) + B_(y) hat(j) + B_(z) hat(k)`
Then the addition of two vectors is EQUIVALENT to adding their CORRESPONDING x , y and z components .
`:. vec(A) + vec(B) = (A_(x) + B_(y)) hat(i) + (A_(y) +B_(y))hat(j) + (A_(z) + B_(z))hat(k)`


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