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Addition and Subtraction in Unit Vector Notation

lf a⃗=9î-7ĵ...

Question

lf $\to a = 9^i - 7^j + 5^k$ and $\to b = 3^i - 2^j - 6^k$ , then the value of $(- \to a + \to b)$ . $(- \to a - \to b)$ is:

A

206

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B

128

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C

106

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D

-17

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Solution

The correct option is C 106
$(- \to a + \to b) . (- \to a - \to b) = - (- 6^i + 5^j - 11^k) . (12^i - 9^j -^k) = 106$

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Similar questions

| \to a | = 2, | \to b | = 7

\to a \times \to b = 3^i + 2^j + 6^k

(\to a, \to b) =

\to A = 2^i + 7^j + 3^k

\to B = 3^i + 2^j + 5^k

Find the component of

\to A

\to B

\to A = 2^i + 7^j + 3^k

\to B = 3^i + 2^j + 5^k

, find the component of

\to A

\to B .

| \to a \times \to b |

\to a =^i - 7^j + 7^k

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

\to a

\to b

are vectors such that

| \to a | = 2, ∣ ∣ \to b ∣ ∣ = 7

\to a \times \to b = 3^i + 2^j + 6^k

, then what is the acute angle between

\to a

\to b

?

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