Question

determine the vector product of v1=2i+3j-k and v2=i+2j-3k

Answer 1

we have to determine vector product of $v_1=2i+3j-k$ and $v_2=i+2j-3k$

i.e., $v_1\times v_2$ = ?

vector product of any two vector can be found by help of determinant concept. where first column we have to use unit vectors, I, j and k . in 2nd column we have to add coefficient of i, j and k of first vector and in 3rd column, add coefficient of i, j and k of 2nd vector.

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

= $\left|\begin{array}{ccc}i & j& k\\2&3&-1\\1&2&-3\end{array}\right|$

= $i\left|\begin{array}{cc}3&-1\\2&-3\end{array}\right|-j\left|\begin{array}{cc}2&-1\\1&-3\end{array}\right|+k\left|\begin{array}{cc}2&3\\1&2\end{array}\right|$

= -7i + 5j + k

hence, vector product of v1 and v2 is -7i + 5j + k

Answer 2

Step-by-step explanation:

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