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3-1.Vectors
normal
$\overrightarrow A = 3\hat i + \hat j + 2\hat k$ અને $\overrightarrow B = 2\hat i - 2\hat j + 4\hat k$ ,બંનેને લંબ દિશામાંનો એકમ સદિશ મેળવો.
A$ + \frac{1}{{\sqrt 3 }}(\hat i - \hat j - \hat k)$
B$ - \frac{1}{{\sqrt 3 }}(\hat i - \hat j - \hat k)$
C(a) અને (b) બંને
Dએકપણ નહીં.
Solution
$\hat n = \frac{{\overrightarrow A \, \times \overrightarrow B }}{{|\overrightarrow A \, \times \overrightarrow B |}} = \frac{{8\hat i – 8\hat j – 8\hat k}}{{8\sqrt 3 }} = \frac{1}{{\sqrt 3 }}(\hat i – \hat j – \hat k)$
$\hat n = \pm \frac{1}{{\sqrt 3 }}(\hat i – \hat j – \hat k)$
$\hat n = \pm \frac{1}{{\sqrt 3 }}(\hat i – \hat j – \hat k)$
Standard 11
Physics
