Which of the the following is correct representation of the complex number: $(a, b)$

(a, 0) - (0, b)

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(a, 0) \times (0, b)

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(a, 0) + (0, b)

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None of these

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Solution

The correct option is C $(a, 0) + (0, b)$
Any complex number z: (a, b) can be written as z = a+ib
Hence, correct representation can be of the form (a, 0) + (0, b)

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Given AB = 0. Which of the following options is correct

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

\vec{a} \cdot \vec{b} = \vec{a} \cdot \vec{c}

\vec{a} \times \vec{b} = \vec{a} \times \vec{c,} \vec{a} \neq 0,

\vec{b} = \vec{c}

\vec{b} = \vec{0}

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a x^{2} + b x + c = 0, a > 0

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