Show that a-b- a-b-2a-b-

(a⃗ b⃗)× (a⃗+b⃗) (a⃗ b⃗)×a⃗ +(a⃗ b⃗)×b⃗ [By distributivity of vector product over addition] =#10; a×a⃗ b⃗×a⃗+a⃗×b⃗ #10; b×b⃗ [Again, by distribu ...

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Operations on Rational and Irrational Numbers

Show that a...

Question

Show that $(\to a - \to b) \times (\to a + \to b) = 2 (\to a \times \to b)$

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Solution

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(\to A - \to B) \times (\to A + \to B)

2 (\to A \times \to B)

\to a

\to b

(\to a - \to b) \times [(\to b + \to a) \times (2 \to a + \to b)] = \to a + \to b

θ

\to a

\to b

| \to b | \to a + | \to a | \to b

| \to b | \to a - | \to a | \to b

| \to a | = 2, ∣ ∣ \to b ∣ ∣ = 3

∣ ∣ 2 \to a - \to b ∣ ∣ = 5,

∣ ∣ 2 \to a + \to b ∣ ∣

| \to a | \to b + | \to b | \to a

| \to a | \to b - | \to b | \to a

\to a

\to b

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