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three vectors are given below a = i^ + 2j^ + 3k^ , b= 2i^ + 4j^ + 6k^ and c= 3i^ + 6j^ + 9k^ Find the components of the vector a + b - c.

three vectors are given below a = i^ + 2j^ + 3k^ , b= 2i^ + 4j^ + 6k^ and c= 3i^ + 6j^ + 9k^ Find the components of the vector a + b - c.
 

Grade:11

1 Answers

Eshan
askIITians Faculty 2095 Points
3 years ago
Dear student,

\vec{a}=\hat{i}+2\hat{j}+3\hat{k}
\vec{b}=2\hat{i}+4\hat{j}+6\hat{k}
\vec{c}=3\hat{i}+6\hat{j}+9\hat{k}

Hence\vec{a}+\vec{b}-\vec{c}=(1+2-3)\hat{i})+(2+4-6)\hat{j}+(3+6-9)\hat{k}
=\vec{0}

Hence all the components are zero.

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