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Applications of Dot Product

Three vectors...

Question

Three vectors $¯ ¯ ¯ a, ¯ ¯ b a n d ¯ ¯ c$ are co planar then for scalars $x, y, z$ , $x ¯ ¯ ¯ a + y ¯ ¯ b + z ¯ ¯ c$

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Solution

The correct option is C $0$
Given vectors
$\to a, \to b, \to c$ are coplanar vectors

then by definition
$x \to a + y \to b + z \to c$ $= 0$

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Similar questions

x a + y b + z c = 0

x, y, z, \neq 0,

a = 2, - 1, 1; b = 1, 3, - 2; c = - 2, 1, - 3

d = 3, 2, 5.

d = x a + y b + z c .

x^{a} = y, y^{b} = z, z^{c} = x

a b c =

x^{a} = y, y^{b} = z, z^{c} = x

x^{a} = y

y^{b} = z

z^{c} = x

a b c = 1

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