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If ||u||= 6, ||v|| = √11 , and u · v = 1, find ||u + v||

User Roonaan
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1 Answer

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Final answer:

The magnitude of the vector sum ||u + v|| is sqrt(47).

Step-by-step explanation:

To find the magnitude of the vector sum of u and v, we can use the Pythagorean theorem in vector form. The magnitude of the vector sum ||u + v|| is equal to the square root of the sum of the squares of the magnitudes of u and v.

We know that ||u|| = 6 and ||v|| = √11. Substituting these values into the equation, we get ||u + v|| = sqrt((6^2) + (√11^2)). Simplifying further, we have ||u + v|| = sqrt(36 + 11). Finally, ||u + v|| = sqrt(47), which is the magnitude of u + v.

User Brian Guthrie
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