Let u^=i^+j^,v^=i^−j^andw^=i^+2j^+3k^˙ If n^ is a unit vector such that u^n^˙=0andv^n^˙=0, then find the value of ∣∣w^n^˙∣∣˙

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Let {{u}}={{i}}+{{j}},{{v}}={{i}}-{{j}}{a}{n}{d}{{w}}={{i}}+{2

Question

Let $\overset{u}{^} = \hat{i} + \hat{j}, \overset{v}{^} = \hat{i} - \hat{j} a n d \overset{w}{^} = \hat{i} + 2 \hat{j} + 3 \hat{k} ˙$ If $\overset{n}{^}$ is a unit vector such that $\overset{u}{^} \dot{\overset{n}{^}} = 0 a n d \overset{v}{^} \dot{\overset{n}{^}} = 0,$ then find the value of $∣ ∣ \overset{w}{^} \dot{\overset{n}{^}} ∣ ∣ ˙$

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Luna Discussed

Let

\overset{u}{^} = \hat{i} + \hat{j}, \overset{v}{^} = \hat{i} - \hat{j} a n d \overset{w}{^} = \hat{i} + 2 \hat{j} + 3 \hat{k} ˙

\overset{n}{^}

is a unit vector such that

\overset{u}{^} \dot{\overset{n}{^}} = 0 a n d \overset{v}{^} \dot{\overset{n}{^}} = 0,

then find the value of

∣ ∣ \overset{w}{^} \dot{\overset{n}{^}} ∣ ∣ ˙

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Question Text

Let

\overset{u}{^} = \hat{i} + \hat{j}, \overset{v}{^} = \hat{i} - \hat{j} a n d \overset{w}{^} = \hat{i} + 2 \hat{j} + 3 \hat{k} ˙

\overset{n}{^}

is a unit vector such that

\overset{u}{^} \dot{\overset{n}{^}} = 0 a n d \overset{v}{^} \dot{\overset{n}{^}} = 0,

then find the value of

∣ ∣ \overset{w}{^} \dot{\overset{n}{^}} ∣ ∣ ˙