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Question
If `|bar"a"|` = 10, `|bar"b"| = 2`, then `sqrt(|bar"a" xx bar"b"|^2 + |bar"a"*bar"b"|^2)` = ?
Options
10
20
40
50
MCQ
Solution
20
Explanation:
`sqrt(|bar"a" xx bar"b"|^2 + |bar"a"*bar"b"|^2)`
`= sqrt(sin^2 theta |bar"a"|^2 |bar"b"|^2 + cos^2 theta |bar"a"|^2 |bar"b"|^2)`
`= sqrt(|bar"a"|^2 |bar"b"|^2)`
`= |bar"a"||bar"b"|`
= (10)(2) = 20
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Trigonometric Equations and Their Solutions
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