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

x⃗= | b⃗ |a⃗ + | a⃗ |b⃗ y⃗= | b⃗ |a⃗ | a⃗ |b⃗ x⃗ #160; and #160; #160; y⃗ #160; are orthogonal if their dot product #160; # ...

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Applications of Dot Product

Show that vec...

Question

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

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| \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 | \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 c

\to a . \to b = \to a . \to c, \to a \times \to b = \to a \times \to c, \to a \neq 0

\to b = \to c

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