Let a- - i - j- b- - 2 i - k- then vector r- satisfying the equations r-a- - b-a- and r-b- - a-b- is

The correct option is C 3i + j k r⃗× #160;a⃗ = #160;b⃗× #160;a⃗ or (r⃗ #160;b⃗) × #160;a⃗ = 0 r⃗× #160;b⃗ = #160;a⃗× # ...

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Vector Component

Let a⃗ = i ...

Question

Let $\to a = ˆ i + ˆ j$ , $\to b = 2 ˆ i - ˆ k$ , then vector $\to r$ satisfying the equations $\to r \times \to a = \to b \times \to a$ and $\to r \times \to b = \to a \times \to b$ is

ˆ i - ˆ j + ˆ k

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3 ˆ i - ˆ j + ˆ k

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3 ˆ i + ˆ j - ˆ k

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ˆ i - ˆ j - ˆ k

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\to A = i - j, \to B = i + j + k

\to C

\to A \times \to C + \to B = \to 0

\to A . \to C = 0

| \to C |^{2}

\to r \times \to b = \to c \times \to b & \to r, \to a = 0

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

\to r

\to a, \to b, \to c

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

\to a = ˆ i + ˆ j

\to b = 2 ˆ i - ˆ k

\to r \times \to a = \to b \times \to a

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θ

\to r = 2 i + j - k + (i + j + k) t

\to r \cdot (3 i - 4 j + 5 k) = q

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