Let -a-3- -b-2 and -a-b-2 -27 then a-b equals

|a×b| =27 ⇒sin^2θ =34 ⇒a.b=± 3 nbsp; ...

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Vector Triple Product

Let |a|=3, |b...

Question

Let $| \to a | = 3, | \to b | = 2 and | \to a \times \to b |^{2} = 27$ then $\to a . \to b$ equals

Either

(1)

(2)

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Solution

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Similar questions

Let \to a =^i +^j +^k, \to c =^j -^k

\to b

\to a \times \to b = \to c

\to a . \to b = 3

| \to b |

| \to a | = 2

| \to b | = 3

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

| a \times b | = 4 a n d | a . b | = 2, t h e n {| a |}^{2} {| b |}^{2}

I

| ¯ ¯ ¯ a . ¯ ¯ b | = | ¯ ¯ ¯ a \times ¯ ¯ b |

(¯ ¯ ¯ a . ¯ ¯ b) = \frac{π}{4}

II

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

(¯ ¯ ¯ a, ¯ ¯ b) = \frac{3 π}{4}

A, B, C

A . B = A . C = 0

B

C

\frac{π}{6} .

A

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