Let →u,→v and →w be three vectors in three-dimensional space, where →u and →v are unit vectors which are not perpendicular to each other and →u⋅→w=1,→v⋅→w=1,→w⋅→w=4. If the volume of the parallelopiped, whose adjacent sides are represented by the vectors →u,→v and →w is √2, then the value of |3→u+5→v| is

Let →u,→v and →w be three vectors in three-dimensional space, wh

1.	Let →u,→v and →w be three vectors in three-dimensional space, where →u and →v are unit vectors which are not perpendicular to each other and →u⋅→w=1,→v⋅→w=1,→w⋅→w=4. If the volume of the parallelopiped, whose adjacent sides are represented by the vectors →u,→v and →w is √2, then the value of \|3→u+5→v\| is
Answer» Let $\to u, \to v$ and $\to w$ be three vectors in three-dimensional space, where $\to u$ and $\to v$ are unit vectors which are not perpendicular to each other and $\to u \cdot \to w = 1, \to v \cdot \to w = 1, \to w \cdot \to w = 4.$ If the volume of the parallelopiped, whose adjacent sides are represented by the vectors $\to u, \to v$ and $\to w$ is $\sqrt{2}$ , then the value of $\| 3 \to u + 5 \to v \|$ is