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$Let the volume of a parallelepiped whose coterminous edges are given by$ $\begin{array}{l} \vec{u} = \hat{i} + \hat{j} + λ \hat{k}, \vec{v} = \hat{i} + \hat{j} + 3 \hat{k}, and \vec{w} = 2 \hat{i} + \hat{j} + \hat{k}, be 1 cu.unit. If θ be the angle between the \\ edges \vec{u} and \vec{w}, then \cos θ can be: \end{array}$

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Volume of parallelepiped formed by coterminous vectors a¯,b¯,c→ is [a¯b¯c→]∴±1=11λ113211⇒=-λ+3=±1⇒λ=2 or λ=4 For λ=2,cosθ=2+1+266=56 For λ=4,cosθ=2+1+4618=763

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Let the volume of a parallelepiped whose coterminous edges are given by u→=i^+j^+λk^,v→=i^+j^+3k^, and w→=2i^+j^+k^, be 1 cu.unit. If θ be the angle between the edges u→ and w→, then cosθ can be:

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