11.4-bo'lim: O'zaro mahsulot

1. Agar \(\vec w = \left\langle {3, - 1,5} \right\rangle \) va \(\vec v = \left\langle {0,4, - 2} \right\rangle \) \(\vec v \times \vec w\) hisoblansa. Yechim
2. Agar \(\vec w = \left\langle {1,6, - 8} \right\rangle \) va \(\vec v = \left\langle {4, - 2, - 1} \right\rangle \) \(\vec w \times \vec v\) ni hisoblasa. Yechim
3. \(P = \left( {3,0,1} \right)\), \(Q = \left( {4, - 2,1} \right)\) va \(R = \left( {5,3, - 1} \right)\) nuqtalarini o'z ichiga olgan tekislikka ortogonal vektorni toping. Yechim
4. \(\vec u = \left\langle {1,2, - 4} \right\rangle \), \(\vec v = \left\langle { - 5,3, - 7} \right\rangle \) va \(\vec w = \left\langle { - 1,4,2} \right\rangle \) vektorlari bir tekislikdami? Yechim