Question

Which of the following is equal to - zw expressed as a linear combination of vectors , ifw=- -??

Answer 1

As per given by the question,

There are given that the vector,

$w=-\frac{1}{2}i-\frac{3}{2}j$

Now,

If the another value is given;

$-\frac{9}{2}w$

Then,

$\begin{gathered} -\frac{9}{2}w=-\frac{9}{2}(-\frac{1}{2}i-\frac{3}{2}j) \\ =(-\frac{9}{2}(-\frac{1}{2}i)+\frac{9}{2}(\frac{3}{2}j)) \\ =\frac{9}{4}i+\frac{27}{4}j \end{gathered}$

Hence, the option first is correct.