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Vector Algebra

Question
CBSEENMA12036092
Wired Faculty App

If space straight a with rightwards arrow on top space equals space fraction numerator 1 over denominator square root of 10 end fraction space left parenthesis 3 straight i with hat on top space plus straight k with hat on top right parenthesis space and space straight b with rightwards arrow on top space equals space 1 over 7 left parenthesis 2 straight i with hat on top space plus space 3 straight j with hat on top space minus 6 straight k with hat on top right parenthesis comma space then space the space value space of space left parenthesis 2 straight a with rightwards arrow on top minus straight b with rightwards arrow on top right parenthesis. left square bracket left parenthesis straight a with rightwards arrow on top space straight x space straight b with rightwards arrow on top right parenthesis space straight x left parenthesis straight a with rightwards arrow on top plus 2 straight b with rightwards arrow on top right parenthesis right square bracket space is

  • -5

  • -3

  • 5

  • 3

Solution

A.

-5

left parenthesis 2 straight a with rightwards arrow on top minus straight b with rightwards arrow on top right parenthesis. left square bracket left parenthesis straight a with rightwards arrow on top space straight x straight b with rightwards arrow on top right parenthesis space straight x space left parenthesis straight a with rightwards arrow on top space plus 2 straight b with rightwards arrow on top right parenthesis right square bracket equals negative space left parenthesis 2 straight a with rightwards arrow on top minus straight b with rightwards arrow on top right parenthesis. left square bracket space left parenthesis straight a with rightwards arrow on top space plus 2 straight b with rightwards arrow on top right parenthesis straight x space left parenthesis straight a with rightwards arrow on top space straight x straight b with rightwards arrow on top right parenthesis space right square bracket equals space minus space left parenthesis 2 straight a with rightwards arrow on top minus straight b with rightwards arrow on top right parenthesis. left square bracket left parenthesis straight a with rightwards arrow on top plus 2 straight b with rightwards arrow on top right parenthesis. straight b with rightwards arrow on top right parenthesis straight a with rightwards arrow on top minus left parenthesis straight a with rightwards arrow on top plus 2 straight b with rightwards arrow on top right parenthesis. straight a with rightwards arrow on top right parenthesis straight b with rightwards arrow on top right square bracket space equals space minus space left parenthesis 2 straight a with rightwards arrow on top minus straight b with rightwards arrow on top right parenthesis. left square bracket left parenthesis straight a with rightwards arrow on top. straight b with rightwards arrow on top right parenthesis plus 2. straight b with rightwards arrow on top. straight b with rightwards arrow on top right parenthesis straight a with rightwards arrow on top minus left parenthesis straight a with rightwards arrow on top. straight a with rightwards arrow on top plus 2 straight b with rightwards arrow on top. straight a with rightwards arrow on top right parenthesis straight b with rightwards arrow on top right parenthesis right square bracket equals space minus space left parenthesis 2 straight a with rightwards arrow on top minus straight b with rightwards arrow on top right parenthesis. left square bracket 0 space plus 2 straight a with rightwards arrow on top minus left parenthesis 0 space plus straight b with rightwards arrow on top right parenthesis right square bracket equals negative left parenthesis 2 straight a with rightwards arrow on top space minus straight b with rightwards arrow on top right parenthesis. space left parenthesis 2 straight a with rightwards arrow on top minus straight b with rightwards arrow on top right parenthesis equals negative space left parenthesis 2 straight a with rightwards arrow on top minus straight b with rightwards arrow on top right parenthesis squared space equals space minus 4 straight a with rightwards arrow on top squared space plus 4 straight a with rightwards arrow on top. straight b with rightwards arrow on top minus straight b with rightwards arrow on top squared space equals space minus space 4 plus 0 minus 1 space equals space minus space 5

Some More Questions From Vector Algebra Chapter

The Boolean Expression (p∧~q)∨q∨(~p∧q) is equivalent to:

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