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VECTOR ALGEBRA — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsVECTOR ALGEBRA1 Mark
Question
If $\vec{\text{a}}\text{ and }\vec{\text{b}}$ are two non-collinear vectors such that $\text{x}\vec{\text{a}}+\text{y}\vec{\text{b}}=\vec0$, Then write the values of x and y.
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Answer

We have, $\text{x}\vec{\text{a}}+\text{y}\vec{\text{b}}=\vec0$$\Rightarrow\ \text{x}=0$$$ and $\text{y}=0$ $[\because\ \vec{\text{a}}$ and $\vec{\text{b}}$ are non-collinear vectors$]$

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