Vectors

**viet** · September 2nd 2008, 02:37 PM

Consider two vectors by A = 2 i - 2 j and B = - i - 6 j.
1) What is the direction of A + B? (from the +x axis)

I have A + B = 1 i - 8 j, and |A + B| = 8.06,
what i need to do to get the direction?

**Chris L T521** · September 2nd 2008, 02:40 PM

Originally Posted by viet

I have A + B = 1 i - 8 j, and |A + B| = 8.06,
what i need to do to get the direction?

The angle is determined by $\vartheta=\tan^{-1}\left(\frac{v_y}{v_x}\right)$ , where $v_x~and~v_y$ are the components of a vector $\vec{v}$

So, in our case, $\vec{A}+\vec{B}$ (which I will denote as $\vec{V}$ ) is $\vec{i}-8\vec{j}$

Thus, $\vartheta=\tan^{-1}\left(\frac{-8}{1}\right)\approx\dots$

I hope this helps!

--Chris

**viet** · September 2nd 2008, 02:51 PM

easier than what i expected. tyvm Chris.

Thread: Vectors

LinkBack

Thread Tools

Display

Vectors

Similar Math Help Forum Discussions

Calculus 3 Questions: Tangent Vectors/Normal Vectors, Arc Length and Curvature?

[SOLVED] Why row vectors equal to linear combination of basis vectors of rowspc(in this case)?

[SOLVED] Row vectors of B and the subspace spanned by row vectors of B lie in row space A:Why?

[SOLVED] Vectors: Finding coefficients to scalars with given vectors.

A matrix that permutates row vectors to column vectors

Search Tags