If a-2-3k- and b-3-2k- then the angle between the vectors a-b- and a-b- is-

The correct option is B 90^o Given that: a⃗=î+2ĵ 3k̂ and #160; b⃗=3î ĵ+2k̂ Now, #160; a⃗+b⃗= î+2ĵ 3k̂ +3î ĵ+2k̂ =4î+ĵ k̂ ...

If a⃗=î+2ĵ-...

Question

If $\to a =^i + 2^j - 3^k$ and $\to b = 3^i -^j + 2^k$ then the angle between the vectors $\to a + \to b$ and $\to a - \to b$ is.

60^{o}

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90^{o}

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45^{o}

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55^{o}

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Solution

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\to A = 2 \to i -^j + 3^k

\to B = 3^i - 2^j + 2^k

(\to A + \to B)

\to a = 3^i - 2^j +^k,

\to b = 2^i - 4^j - 3^k, \to c = -^i + 2^j + 2^k

\to a + \to b + \to c = 4^i - 4^j

\to a =^i -^j + 2^k, \to b = 2^i + 3^j +^k, \to c =^i -^k

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\sqrt{78}

\to a = 3^i + 2^j + 2^k, \to b = -^i + 3^j -^k, \to c =^i +^j +^k

\to a \times (\to b \times \to c)

(\to a \times \to b) \times \to c

\to a + \to b

\to a - \to b

\to a = 3^i + 2^j + 2^k

\to b =^i + 2^j - 2^k

\to a = 3^i + 2^j + 2^k

\to b =^i + 2^j - 2^k

12

\to a + \to b

\to a - \to b