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If \( | \overrightarrow a\) x \( \overrightarrow b | = 4, | \overrightarrow a. \overrightarrow b |=2\) then find \(| \overrightarrow a |^2 | \overrightarrow b |^2\).
cbse
class12
modelpaper
2012
sec-a
q9
math
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Jan 16, 2013
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thanvigandhi_1
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If angle between the two vectors \( \overrightarrow a \: and \: \overrightarrow b\) of same magnitude is \( 60^{\circ} \) and \( \overrightarrow a. \overrightarrow b = 32,\) then find \( |\overrightarrow a | \: and \: | \overrightarrow b |. \)
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Find \( | \overrightarrow a \) x \( \overrightarrow b |\), if \( \overrightarrow a = \hat i - 7\hat j + 7\hat k\) and \( \overrightarrow b = 3\hat i - 2\hat j + 2\hat k \)
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If \( \overrightarrow a \: and \: \overrightarrow b\) are two vectors such that \( | \overrightarrow a. \overrightarrow b| = | \overrightarrow a\) x \( \overrightarrow b |\), then what is the angle between \( \overrightarrow a \: and \: \overrightarrow b\)?
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