Let a-k-b-x-1-xk- and c-y-x-1-x-yk- then -a b c- depends on

The correct option is A Only x [a #160;b c] = [c a b] ∴[c #160;a b] = #160;c.(a× #160;b) = yi + xj + (1 x y)k.(k + (x ...

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Properties of Iota

Let a=î-k̂,...

Question

Let $\to a =^i -^k, \to b = x^i +^j + (1 - x)^k$ and $\to c = y^i + x^j + (1 - x - y)^k$ , then $[\to a \to b \to c]$ depends on

Only

x

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Only

y

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Neither

x

nor

y

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Both

x

and

y

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Solution

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Similar questions

\to a =^i -^k, \to b = x^i +^j + (1 - x)^k, \to c = y^i + x^j + (1 + x - y)^k

[\to a \to b \to c]

\to a =^i -^k

\to b = x^i +^j + (1 - x)^k

\to c = y^i + x^j + (1 + x - y)^k

[\to a, \to b, \to c]

¯ a =^i -^k, ¯ b = x^i +^j + (1 - x)^k

¯ c = y^i + x^j + (1 + x - y)^k

[¯ a ¯ b ¯ c]

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

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

| \to c | = \sqrt{3}

(x, y)

^i,^j,^k

x, y, z

\to u = x^i + y^j + z^k, \to v = y^i + z^j + x^k

\to w = z^i + x^j + y^k

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