Given, →A = 6i^ + 7j→
And →B = 3i⏜ + 4j⏜
Resultant vector, →R = →A + →B = 9i⏜ + 11j^
1) \(\begin{array}{l}\sqrt{132}\end{array} \) 2) \(\begin{array}{l}\sqrt{136}\end{array} \) 3) \(\begin{array}{l}\sqrt{160}\end{array} \) 4) \(\begin{array}{l}\sqrt{202}\end{array} \) Answer: 4) \(\begin{array}{l}\sqrt{202}\end{array} \) Solution:
\(\begin{array}{l}A= 6\hat{i}+7\hat{j}\end{array} \)
and\(\begin{array}{l}B= 3\hat{i}+4\hat{j}\end{array} \)
Sum of two vectors
= A+B
=
\(\begin{array}{l}=(6\hat{i}+7\hat{j})+(3\hat{i}+4\hat{j})\end{array} \)
=
\(\begin{array}{l}=(9\hat{i}+11\hat{j})\end{array} \)
Magnitude of two vectors
\(\begin{array}{l}=\left | 9^{2}+11^{2} \right |\end{array} \)
\(\begin{array}{l}=\sqrt{202}\end{array} \)
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