Find left parenthesis 3 Bold u right parenthesis times Bold v for the given vectors.

Question

Bold u equals Bold i minus 2 Bold j plus 3 Bold k​, Bold v equals negative 4 Bold i plus 2 Bold j plus 2 Bold k
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Part 1
Select the correct choice below and fill in the answer​ box(es) within your choice.
A.
The answer is a vector. left parenthesis 3 Bold u right parenthesis times Bold vequalsa Bold i plus b Bold j plus c Bold k where aequals
  
enter your response here​, bequals
  
enter your response here​, and cequals
  
enter your response here.
​(Type integers or simplified​ fractions.)
B.
The answer is a scalar. left parenthesis 3 Bold u right parenthesis times Bold vequals
  
enter your response here.
​(Type an integer or simplified​ fraction.)

Answer 1

A.
The answer is a vector. \( \left(3\textbf{u}\right) \times \textbf{v} \) equals \(-10\textbf{i} + 8\textbf{j} - 10\textbf{k} \) where a equals -10, b equals 8, and c equals -10.
(Typed as fractions or simplified fractions)