Find a vectorvwhose magnitude is 3 and whose component in theidirection is equal to the component in thejdirection.

Printable View

- Oct 4th 2008, 03:05 AMmagentaritaFind a Vector
Find a vector

**v**whose magnitude is 3 and whose component in the**i**direction is equal to the component in the**j**direction.

- Oct 4th 2008, 04:02 AMearboth
The vector $\displaystyle \vec p = i+j$ has the magnitude $\displaystyle |i+j| = \sqrt{2}$

Therefore the vector $\displaystyle \vec u = \frac1{\sqrt{2}} (i+j)$ has the magnitude 1. (It's a unit vector)

And therefore the vector $\displaystyle \vec v = 3 \cdot \frac1{\sqrt{2}} (i+j) = \left(\frac{3\sqrt{2}}2i + \frac{3\sqrt{2}}2 j \right)$ - Oct 4th 2008, 04:54 AMmagentaritaok.....