The correct option is D a^2b^2 |a.b|^2+ |a×b|^2 nbsp;= |ab|^2(sin^2θ nbsp;+ cos^2θ ) = a^2b^2 ...

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Unit Vectors

|a.b|2+ |a×b|...

Question

$| ¯ ¯ ¯ a . ¯ ¯ b |^{2} + | ¯ ¯ ¯ a \times ¯ ¯ b |^{2}$ =

a b

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a / b

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a^{2} / b^{2}

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a^{2} b^{2}

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Solution

The correct option is D $a^{2} b^{2}$
$| ¯ ¯ ¯ a . ¯ ¯ b |^{2} + | ¯ ¯ ¯ a \times ¯ ¯ b |^{2}$ = $| a b |^{2} (s i n^{2} θ + c o s^{2} θ) = a^{2} b^{2}$

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Similar questions

The length of the chord intercepted by the circle $x^{2} + y^{2} = r^{2}$ on the line $\frac{x}{a} + \frac{y}{b} = 1$

| \to a \times \to b |^{2} .

x = 1 + a + a^{2} + \dots \infty, y = 1 + b + b^{2} + \dots \infty

1 + a b + a^{2} b^{2} + \dots \infty =

x = 1 + a + a^{2} + . . . . \infty, y = 1 + b + b^{2} + . . . . \infty, | a b | < 1,

1 + a b + a^{2} b^{2} + . . . . \infty =

(\frac{1}{a} + \frac{1}{b} - \frac{2 c}{a b}) (a + b + 2 c) : (\frac{1}{a^{2}} + \frac{1}{b^{2}} + \frac{2}{a b} - \frac{4 c^{2}}{a^{2} b^{2}})

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