Let $\rm \vec{a}=\hat{j}-\hat{k}$ and $\rm \vec{c}= \hat{i}-\hat{j}-\hat{k}$. Then the vector $\rm \vec{b}$ satisfying $\rm (\vec{a}\times \vec{b})+\vec{c}=0$ and $\rm \vec{a}\cdot \vec{b}=3$, is

Question

Let $\rm \vec{a}=\hat{j}-\hat{k}$ and $\rm \vec{c}= \hat{i}-\hat{j}-\hat{k}$. Then the vector $\rm \vec{b}$ satisfying $\rm (\vec{a}\times \vec{b})+\vec{c}=0$ and $\rm \vec{a}\cdot \vec{b}=3$, is

TuteeHUB · Accepted Answer

$\rm 2\hat{i}-\hat{j}+2\hat{k}$

TuteeHUB · Answer

$\rm - \hat{i}+\hat{j}-2\hat{k}$

TuteeHUB · Answer

$\rm \hat{i}-\hat{j}-2\hat{k}$

TuteeHUB · Answer

$\rm \hat{i}+\hat{j}-2\hat{k}$

1.	Let \(\rm \vec{a}=\hat{j}-\hat{k}\) and \(\rm \vec{c}= \hat{i}-\hat{j}-\hat{k}\). Then the vector \(\rm \vec{b}\) satisfying \(\rm (\vec{a}\times \vec{b})+\vec{c}=0\) and \(\rm \vec{a}\cdot \vec{b}=3\), is
A.	\(\rm - \hat{i}+\hat{j}-2\hat{k}\)
B.	\(\rm 2\hat{i}-\hat{j}+2\hat{k}\)
C.	\(\rm \hat{i}-\hat{j}-2\hat{k}\)
D.	\(\rm \hat{i}+\hat{j}-2\hat{k}\)
Answer» B. \(\rm 2\hat{i}-\hat{j}+2\hat{k}\)

Let \(\rm \vec{a}=\hat{j}-\hat{k}\) and \(\rm \vec{c}= \hat{i}-\hat{j}-\hat{k}\). Then the vector \(\rm \vec{b}\) satisfying \(\rm (\vec{a}\times \vec{b})+\vec{c}=0\) and \(\rm \vec{a}\cdot \vec{b}=3\), is

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