Find u × v. $\mathbf { u } = ( 6 ) \mathbf { i } + ( 3 ) \mathbf { j } + ( 2 ) \mathbf { k } \quad \mathbf { v } = ( 5 ) \mathbf { i } + ( 2 ) \mathbf { j } + ( - 1 ) \mathbf { k }$
A) $34$
B) $( 30 ) \mathbf { i } + ( 6 ) \mathbf { j } + ( - 2 ) \mathbf { k }$
C) $( - 7 ) \mathbf { i } + ( - 16 ) \mathbf { j } + ( - 3 ) \mathbf { k }$
D) $22$
E) $( - 7 ) \mathbf { i } + ( 16 ) \mathbf { j } + ( - 3 ) \mathbf { k }$

Question

Quizplus · Accepted Answer

The cross product u × v is calculated as: $ \mathbf{i}(3 \cdot -1 - 2 \cdot 2) - \mathbf{j}(6 \cdot -1 - 2 \cdot 5) + \mathbf{k}(6 \cdot 2 - 3 \cdot 5) $, which simplifies to $ (-7)\mathbf{i} + 16\mathbf{j} + (-3)\mathbf{k} $.

Find U × V A) 343434 B) (30)i+(6)j+(−2)k( 30 ) \mathbf { i } + ( 6 ) \mathbf { j } + ( - 2 ) \mathbf { k }(30)i+(6)j+(−2)k

Find U × V A) $34$ B) $( 30 ) \mathbf { i } + ( 6 ) \mathbf { j } + ( - 2 ) \mathbf { k }$