Question

Determine the vector product of v1=2i^+3j^-k^and v2=i^+2j^-3k^,

Answer 1

Answer:is this correct answer

Explanation:

Answer 2

Answer:

-7i -5j + 3k

Explanation:

Given,

$v_1\ =\ 2i\ +\ 3j\ -k$

$v_2\ =\ i\ +\ 2j\ -\ 3k$

we have to calculate the vector product of the given vector,

$v_1\times v_2\ =\ ( 2i\ +\ 3j\ -k)\times ( i\ +\ 2j\ -\ 3k)$ 

$=\ \left[\begin{array}{ccc}i&j&k\\2&3&-1\\1&2&-3\end{array}\right] \\=i(-9+2)\ -\ j(-6+1)+k(4-1)\\\\=-7i\ -5j\ +\ 3k$

So, the vector product of vector $v_1$ and $v_2$ is -7i -5j + 3k.

Vector product of two vector will also be a vector having both magnitude and direction.