given that vector v1=2i-3j & v2=i+5j find:

**bobmarly12345** · April 13th 2012, 03:31 AM

a) the magnitude of the vector v1+(2xv2)
b) the unit vector in the direction of (2xv1)-v2

**earboth** · April 13th 2012, 05:23 AM

Originally Posted by bobmarly12345

a) the magnitude of the vector v1+(2xv2)
b) the unit vector in the direction of (2xv1)-v2

To a):

$\overrightarrow{v_1} = \langle 2,-3 \rangle$

$\overrightarrow{v_2} = \langle 1,5 \rangle$

then $\overrightarrow{v_1} + 2 \cdot \overrightarrow{v_2} = \langle 2,-3 \rangle + 2 \cdot \langle 1,5 \rangle$

Continue.

To b)

Determine

$2 \cdot \overrightarrow{v_1} - \overrightarrow{v_2}$

Determine the length (the absolute value) of this vector sum. (I've got $|2\cdot \overrightarrow{v_1} - \overrightarrow{v_2} | = \sqrt{130}$ )

Let $\vec u$ denote a unit vector in the direction of $\vec v$ . Then this unit vector is determined by: $\vec u = \frac{\vec v}{|\vec v|}$

Thread: given that vector v1=2i-3j & v2=i+5j find:

LinkBack

Thread Tools

Display

given that vector v1=2i-3j & v2=i+5j find:

Re: given that vector v1=2i-3j & v2=i+5j find:

Similar Math Help Forum Discussions

find a vector perpendicular to both vector a and vector b

[SOLVED] Find velocity vector from position vector

find a unit vector and a vector of magnitude 3 in the opposide direction

Find the unit vector perpendicular to the plane of 2 vector

Find Unit vector parallel to xy plane and perp. to a vector

Search Tags