Given- -a-b-1 and -a-b-3- If c- be a vector such that c-a-2b-3a-b- - then c-b- is equal to

The correct option is D 52 We have c b=a b+2 | a+b |=√(a̅^2+b̅^2+2·̅b̅) 3=1+1+2 ( a·b ) 12=a b c b=52 ...

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Applications of Cross Product

Given, |a⃗|...

Question

Given, $| \to a | = | \to b | = 1$ and $| \to a + \to b | = \sqrt{3}$ . If $\to c$ be a vector such that $\to c - \to a - 2 \to b = 3 (\to a \times \to b)$ , then $\to c . \to b$ is equal to

- \frac{1}{2}

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\frac{1}{2}

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\frac{3}{2}

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\frac{5}{2}

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Solution

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Similar questions

\to a

\to b

| \to a + \to b | = \sqrt{3} .

\to c = \to a + 2 \to b + 3 (\to a \times \to b),

2 | \to c |

\to A

\to B

\to C

| \to B | =

\to C |

[(\to A + \to B) \times (\to A + \to C)] \times (\to B \times \to C) . (\to B + \to C) = 0

[\to a + 2 \to b - \to c, \to a - \to b, \to a - \to b - \to c] =

| \to a | = 3, ∣ ∣ \to b ∣ ∣ = 4, | \to c | = 5, \to a ⊥ (\to b + \to c), \to b ⊥ (\to c + \to a)

\to c ⊥ (\to a + \to b)

\sqrt{2} ∣ ∣ \to a + \to b + \to c ∣ ∣

\to a, \to b, \to c

| \to b | = | \to c |

(\to a + \to b) \times (\to a + \to c)} \times (\to b \times \to c) . (\to b + \to c) =

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