If -a-2-b-5- and -a- b-8 find the a- b-

|a⃗|=2 |a⃗×b⃗|=8 |b⃗|=5 |a⃗×b⃗|=ab cosθ =8 2× 5 cos θ=8 cos θ =0.8 sinθ =√(1 cos^2θ) =√(1 0.64) =√(0.36) =0.6 |a.b|=ab sin θ =2× 5× 0.6 =6 ...

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Euler's Representation

If |a⃗|=2,|b⃗...

Question

If $| \to a | = 2, | \to b = 5 |$ and $| \to a \times | \to b | = 8$ find the $\to a, \to b$

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Solution

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\to A \cdot \to B

| \to A | = 2, | \to B | = 5

| \to A \times \to B | = 8

| \to a |

| \to b |

(\to a + \to b) . (\to a - \to b) = 8

| \to a | = 8 | \to b |

\to a

\to b

| \to a | = 4, ∣ ∣ \to b ∣ ∣ = 3

\to a \to b = 8

∣ ∣ \to a \times \to b ∣ ∣

| \to a | = 5

∣ ∣ \to a - \to b ∣ ∣ = 8

∣ ∣ \to a + \to b ∣ ∣ = 10

∣ ∣ \to b ∣ ∣

| \to b |

(\to a + \to b) \cdot (\to a - \to b) = 8

| \to a | = 8 | \to b |

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