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Byju's Answer

Standard XIII

Mathematics

Equation of a...

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

Trending Questions

Q. Number of planes possible satisfying the condition that it should be parallel to 2 given vectors.

$0$
$\infty$
$1$
$2$

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Q.

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

$[\to r {\to a}_{1} {\to a}_{2}] = 0$
$[\to r {\to a}_{1} {\to a}_{2}] = {\to a}_{1} . {\to a}_{2}$
$[\to r {\to a}_{1} {\to a}_{2}] = | {\to a}_{1} | | {\to a}_{2} |$
None of these

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Q.

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

$[\to r {\to a}_{1} {\to a}_{2}] = 0$
$[\to r {\to a}_{1} {\to a}_{2}] = {\to a}_{1} . {\to a}_{2}$
$[\to r {\to a}_{1} {\to a}_{2}] = | {\to a}_{1} | | {\to a}_{2} |$
None of these

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Q.

Equation of a plane passing through $^i +^j +^k$ parallel to both $^i +^j a n d^j +^k$ can be given by

$¯ r . (^i +^j +^k) = 1$
$¯ r . (^i -^j +^k) = 1$
$¯ r . (^i +^j -^k) = 1$
$¯ r . (^i -^j -^k) = 1$

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