If r -3- -2- -5k- - a -2- - -k- - b - -3- -2k- and c -2- - -3k- such that r -x a -y b -z c- then

The correct option is D #160;y, x / 2 ,z are in A.P. We have r =x a +y b +z c ⇒ 3î +2ĵ 5k̂ =x( 2î ĵ +k̂ #160;) +y( î +3ĵ 2k̂ #1 ...

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Linear Programming Problems

If r =3î +2...

Question

If $\to r = 3^i + 2^j - 5^k, \to a = 2^i -^j +^k, \to b =^i + 3^j - 2^k$ and $\to c = - 2^i +^j - 3^k$ such that $\to r = x \to a + y \to b + z \to c$ , then

x, y, z

are in

A . P .

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x, y, z

are in

G . P .

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x, y, z

are in

H . P .

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y, \frac{x}{2}, z

are in

A . P .

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Similar questions

\to r = 3^i + 2^j - 5^k, \to a = 2^i -^j +^k

\to b =^i + 3^j - 2^k, \to c = - 2^i +^j - 3^k

\to r = λ \to a + μ \to b + v \to c

μ, \frac{λ}{2}

v

\to r = 3^i + 2^j - 5^k, \to a = 2^i -^j +^k, \to b =^i + 3^j - 2^k

\to c = - 2^i +^j - 3^k

\to r = l \to a + m \to b + n \to c

f : R \to R

f

f (x) f (y) = f (x + y)

\forall x, y \in R

f (x), f (y), f (z)

x, y, z

\to a =^i + 2^j + 3^k

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

\to c = 3^i + 2^j +^k

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

x \to a + y \to b + z \to c

x + y + z

For some $α ϵ R,$ if $\frac{α - x}{p x} = \frac{α - y}{q y} = \frac{α - z}{r z}$ and p,q,r are in A.P., then

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