If r - a -0- r - b -0 and r - C -0 for some non-zero vector r - then the value of a - b - C - is

Given for same non zero vector nbsp;r #8594;, r #8594; #183;a #8594;=0=r #8594; #183;b #8594;=r #8594; #183;c #8594;i.e #160;r #8594; ...

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Basic Differentiation Rule

If r →· a →=0...

Question

If $\vec{r} \cdot \vec{a} = 0, \vec{r} \cdot \vec{b} = 0 and \vec{r} \cdot \vec{c} = 0$ for some non-zero vector $\vec{r}, then the value of \vec{a} . (\vec{b} \times \vec{c})$ is ____________.

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\vec{r} \cdot \vec{a} = \vec{r} \cdot \vec{b} = \vec{r} \cdot \vec{c} = 0

\vec{r},

[\vec{a} \vec{b} \vec{c}],

r \cdot a = 0, r \cdot b = 0

r \cdot c = 0

r

[a b c]

\to a, \to b, \to c

\to r . \to a = \to r . \to b = \to r . \to c = 0

\to r

lim x \to 0 \frac{x^{a} {sin}^{b} x}{sin (x^{c})}, a, b, c, \in R \sim {0}

¯ r \cdot ¯ a = ¯ r \cdot ¯ b = ¯ r \cdot ¯ c

¯ r

[¯ a ¯ b ¯ c]

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