Answer to Question #120637 in Analytic Geometry for usman

Question #120637

Determine \\(a-b-c\\), if \\(a=5i-2j\\), \\(b=3i+3j\\) and \\(c=4i-j\\)

Expert's answer

Given "\\vec{a}=5\\hat{i}-2\\hat{j}, \\vec{b}=3\\hat{i}+3\\hat{j} \\ and \\ \\vec{c}=4\\hat{i}-\\hat{j}".

"\\implies \\vec{a}-\\vec{b}-\\vec{c}=(5\\hat{i}-2\\hat{j})-(3\\hat{i}+3\\hat{j})-(4\\hat{i}-\\hat{j}) \\\\\n \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ = 5\\hat{i}-2\\hat{j}-3\\hat{i}-3\\hat{j}-4\\hat{i}+\\hat{j} = (5-3-4)\\hat{i} +(-2-3+1)\\hat{j} \\\\ \n\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ = -2 \\hat{i} - 4 \\hat{j}"

So, "\\vec{a}-\\vec{b}-\\vec{c}= -2 \\hat{i} - 4\\hat{j}" .

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Answer to Question #120637 in Analytic Geometry for usman

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