InterviewSolution
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InterviewSolution
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If the components of A are A_(x)=2 and A_(y)=3, and the components of B are B_(x)=-4 and B_(y)= 2, compute the components of each of the following vectors. (i) A+B (ii) A- B (iii) 2A (iv) A+ 3B |
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Answer» Solution :(i) Using unit vector notation, `A= 2i - 3j and B= - 4I + 2j`. Adding COMPONENTS, we see that `A + B= (2+[-4])i+ ([-3]+2)j= 2i-j`. Therefore, the X COMPONENT of the sum is `-2` and the y - components is `-1`. (ii) `A- B= (2i-3j)-(-4i+2j)=(2-[-4])i+(-3-2)j=6i-5j`. The x-component is 6 and the y-component is `-5`. (iii) `2A=2(2i-3j)=4i-6j`. 4 and `-6` are the x- and y-components, respectively. `(iv) A+3B=(2i-3j)+3(-4i+2j)=(2+3[-4])i+(-3+3[2])j=-10i+3j. -10 and 3` are the x- and y-components, respectively. |
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