The equation of the plane containing the lines r- - a-1 - -a-2 -and-r- -a-2-a-1 is-r-a-1 -a-2-0-r-a-1 -a-2- - a-1 - a-2-r-a-1 -a-2- - -a-1- -a-2-None of these-

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Equation of a Plane Passing through a Point and Parallel to the Two Given Vectors

The equation ...

Question

The equation of the plane containing the lines

$\to r = {\to a}_{1} + λ {\to a}_{2} a n d \to r = {\to a}_{2} + μ {\to a}_{1}$ is

$[\to r {\to a}_{1} {\to a}_{2}] = 0$

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$[\to r {\to a}_{1} {\to a}_{2}] = {\to a}_{1} . {\to a}_{2}$

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$[\to r {\to a}_{1} {\to a}_{2}] = | {\to a}_{1} | | {\to a}_{2} |$

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None of these

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Find the equation of the plane which contains the line of intersection of the planes , and which is perpendicular to the plane .

The equation of the plane containing the lines

$\to r = {\to a}_{1} + λ {\to a}_{2} a n d \to r = {\to a}_{2} + μ {\to a}_{1}$ is

∣ ∣ {\to A}_{1} ∣ ∣ = 2, ∣ ∣ {\to A}_{2} ∣ ∣ = \to 3

∣ ∣ {\to A}_{1} + {\to A}_{2} ∣ ∣ = 3

({\to A}_{1} + 2 {\to A}_{2}) . (3 {\to A}_{1} - 4 {\to A}_{2})

\to r = {\to r}_{1} + t {\to a}_{1}

\to r = {\to r}_{2} + t {\to a}_{2}

{\to r}_{1} = j, {\to a}_{1} = i + 2 j - k

{\to r}_{2} = i + j + k, {\to a}_{2} = - 2 i - 2 j

\to r

(^i + 2^j -^k) = 3

\to r =^i +^j + λ (2^i +^j + 4^k)

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