If - - -k- - - -k- -2- -3- -mk- are coplanar- then find m-

Given vector are coplanar In #160; 1 amp; 1 amp; 1 1 amp; 1 amp; 1 2 amp; 3 amp; m =0 ∴ m ∈ R ...

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Standard XII

Mathematics

Condition for Coplanarity of Four Points

If î +ĵ +k̂...

Question

If $^i +^j +^k,^i +^j +^k, 2^i + 3^j + m^k$ are coplanar, then find $m$ .

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Solution

Given vector are coplanar In
$∣ ∣ ∣ ∣ \begin{matrix} 1 & 1 & 1 1 & 1 & 1 2 & 3 & m \end{matrix} ∣ ∣ ∣ ∣ = 0$
$∴ m \in R$

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If $\to r \times \to b = \to c \times \to b$ and $\to r . \to a = 0$ where $\to a = 2^i + 3^j -^k, \to b = 3^i -^j +^k$ and $\to c =^i +^j + 3^k$ , then $\to r$ is equal to

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If ^i+^j+^k,^i+^j+^k,2^i+3^j+m^k are coplanar, then find m.

Given vector are coplanar In ∣∣ ∣∣11111123m∣∣ ∣∣=0∴m∈R

If $^i +^j +^k,^i +^j +^k, 2^i + 3^j + m^k$ are coplanar, then find $m$ .

Given vector are coplanar In
$∣ ∣ ∣ ∣ \begin{matrix} 1 & 1 & 1 1 & 1 & 1 2 & 3 & m \end{matrix} ∣ ∣ ∣ ∣ = 0$
$∴ m \in R$