The value of x- for which vectors a-1-2-3- b-2-3-4- c- 1-1-x form a linearly dependent system is

Given : a,b and c are linearly dependent. ⇒ 1 amp; 2 amp;3 2 amp;3 amp; 4 1 amp; 1 amp;x =0 ⇒ 1(3x 4)+2( 2x+4)+3(2 3)=0 ⇒ 3x 4 4x+8 3=0 ⇒ x=1 ...

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Solving Simultaneous Linear Equation Using Cramer's Rule

The value of ...

Question

The value of $x \in R$ for which vectors $\to a = (1, - 2, 3),$ $\to b = (- 2, 3, - 4),$ $\to c = (1, - 1, x)$ form a linearly dependent system is

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x \in R

\to a = (1, - 2, 1), \to b = (- 2, 3, - 4), \to c = (1, - 1, x)

\to a + \to b + \to c, \to a + λ \to b + 2 \to c

- \to a + \to b + \to c

λ

1

[\to b \times \to c \to c \times \to a \to a \times \to b] = 0

2

\to p, \to q, \to r

\to a =^i +^j +^k, \to b = 2^i -^j +^k

\to c =^i + x^j + y^k

| \to c | = \sqrt{3}

\to a + 1343 \to b + \to c, - \to a + \to b + \to c

\to a + μ \to b + 2 \to c

μ =

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