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If vectors \(\vec{a}_1=x \hat{i}-\hat{j}+\hat{k}\) and \(\vec{a}_2=\hat{i}+y \hat{j}+z \hat{k}\) are collinear, then a p…

Q1

If vectors \(\vec{a}_1=x \hat{i}-\hat{j}+\hat{k}\) and \(\vec{a}_2=\hat{i}+y \hat{j}+z \hat{k}\) are collinear, then a possible unit vector parallel to the vector \(x \hat{i}+y \hat{j}+z \hat{k}\) is:


[JEE Main 2021, 26 Feb (Shift 2)]

a

\(\frac{1}{\sqrt{3}}(\hat{i}+\hat{j}-\hat{k})\)

b

\(\frac{1}{\sqrt{2}}(-\hat{j}+\hat{k})\)

c

\(\frac{1}{\sqrt{3}}(\hat{i}-\hat{j}+\hat{k})\)

d

\(\frac{1}{\sqrt{2}}(\hat{i}-\hat{j})\)

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