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Definition of Function

If a⃗.î=4 a...

Question

If $\to a .^i = 4$ and $(\to a \times^j) . (2^j - 3^k) =$

A

- 12

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B

0

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C

2

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D

12

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Solution

The correct option is C $- 12$
$= 2 (\to a \times^j) .^j - 3 (\to a \times^j) .^k$
$= 0 - 3 [^k \to a^j$ ]
$= - 3 \to a . (^j \times^k)$
$= - 3 \to a .^i$
$= - 12$

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Similar questions

\to a .^i = \to a . (^i +^j) = \to a . (^i +^j +^k),

then find the unit vector

\to a .

\to a \cdot^i = 4

(\to a \times^j) \cdot (2^j - 3^k)

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

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

\to c =^i -^j - 4^k

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

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

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

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

\to c = 3^i +^j + 2^k .

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

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

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

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