Question

If vector P = 2i +3j-k and vector Q = i+2j +k, then vector P .Q is given by *​

Answer 1

Answer:

Given that,

P=2i+3j-k

Q =2i+4j+2k

To find,

P+Q and 3P-2Q

Solution,

For P+Q,

\begin{gathered}=2i+3j-k+(2i+4j+2k)\\\\=4i+7j+k\end{gathered}

=2i+3j−k+(2i+4j+2k)

=4i+7j+k

For 3P-2Q,

\begin{gathered}=3(2i+3j-k)-2(2i+4j+2k)\\\\=6i+9j-3k-(4i+8j+4k)\\\\=6i+9j-3k-4i-8j-4k\\\\=2i+j-7k\end{gathered}

=3(2i+3j−k)−2(2i+4j+2k)

=6i+9j−3k−(4i+8j+4k)

=6i+9j−3k−4i−8j−4k

=2i+j−7k

pls mark me brainiest answer