Let a- be a unit vector and b- be a non-zero vector not parallel to a- If u-3a-b- and v-a-b-a- then u- v-

The correct option is C 90^0 v =√( 3 ) ( a × b ) v =( a × b )× a u × v =√( 3 ) ( a × b )×[ ( a × b )× a ] = √( 3 ) ( a × b )× ...

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Parametric Form of Tangent: Ellipse

Let a⃗ be a...

Question

Let $\to a$ be a unit vector and $\to b$ be a non-zero vector not parallel to $\to a$ . If $\to u = \sqrt{3} (\to a \times \to b)$ and $\to v = (\to a \times \to b) \times \to a$ , then $(\to u, \to v) =$

0^{0}

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30^{0}

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90^{0}

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60^{0}

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\to a

\to b

\to u = \to a - (\to a . \to b) \to b

\to v = \to a \times \to b,

| \to v |

$I f \to u = \to a - \to b a n d \to v = \to a + \to b a n d | \to a | = | \to b | = 2, t h e n | \to u \times \to v | =$

\to u = \to a - \to b, \to v = \to a + \to b

| \to a | = | \to b | = 2

| \to u \times \to v |

\to u = \to a - \to b; \to v = \to a + \to b

| \to a | = ∣ ∣ \to b ∣ ∣ = 2

| \to u \times \to v |

\to u = \to a \times (\to b \times \to c) + \to b \times (\to c \times \to a) + \to c \times (\to a \times \to b)

\to u =

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