Question

two vectors are given by p=i+2j-k. & Q=2i-j-3k. find P+Q?​

Answer 1

Answer:

P + Q = ( i + 2j - k ) + ( 2i  - j - 3k )

         = ( i + 2i ) + ( 2j - j ) + ( -k - 3k )

         = 3i + j - 4k

Answer 2

P = i+2j-k

Q = 2i-j-3k

P+Q = i+2j-k+2i-j-3k= 3i+j-4k (Magnitude + Direction)

|P+Q| = (Magnitude)

$\sqrt{ {(3)}^{2} + {(1)}^{2} + { ( - 4)}^{2} } \\ = \sqrt{9 + 1 + 16} \\ = \sqrt{26}$

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