If the vectors a- b and c are coplanar- then - a - b b - c c - a -

The correct option is B 0 If three vectors #160; a , b , c are coplaner then #160; a , b , c are linearly dependent. [ a b c ...

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Definition of Vector

If the vector...

Question

If the vectors $\to a, \to b$ and $\to c$ are coplanar, then $[\begin{matrix} \to a \times \to b & \to b \times \to c & \to c \times \to a \end{matrix}]$

0

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

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

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

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A, B

c

(A + B + C) . [(A + B) \times (A + C)]

If a, b and c are real numbers, and,

Show that either a + b + c = 0 or a = b = c.

\to A, \to B, \to C

\frac{\to A . \to B \times \to C}{\to C \times \to A . \to B} + \frac{\to B . \to A \times \to C}{\to C . \to A \times \to B} =

|\begin{matrix} b + c & c + a & a + b \\ c + a & a + b & b + c \\ a + b & b + c & c + a \end{matrix}| = 0

a + b + c = 0 or, a = b = c

a, b

c

Δ = ∣ ∣ ∣ ∣ \begin{matrix} b + c & c + a & a + b c + a & a + b & b + c a + b & b + c & c + a \end{matrix} ∣ ∣ ∣ ∣ = 0

a + b + c = 0

a = b = c

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