Show that vectors -b- -a- -a- -b- and -b- -a- -a- -b- are orthogonal-

[ ( | b⃗ #160; | a⃗ +| a⃗ #160; | b⃗ #160; ) ·( | b⃗ #160; | a⃗ | a⃗ #160; | b ) =| b⃗ #160; | ^ 2 | a | ^ 2 | b⃗ #160; | | a⃗ #160; | a⃗ ...

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Applications of Dot Product

Show that vec...

Question

Show that vectors $| \to b | \to a + | \to a | \to b$ and $| \to b | \to a - | \to a | \to b$ are orthogonal.

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| \to b | \to a + | \to a | \to b a n d | \to b | \to a - | \to a | \to b

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

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

\to a

\to b

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

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

\to a

\to b

\to a = (5^i -^j + 3^k)

\to b = (^i + 3^j - 5^k)

(\to a + \to b)

(\to a - \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

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