+91-8076753736[email protected]
logo
logo
-->

Vector Algebra

Question
CBSEENMA12033976
Wired Faculty App

Compute the magnitude of the following vectors:
straight a with rightwards arrow on top space equals space straight i with hat on top space plus space straight j with hat on top space plus space straight k with hat on top space space semicolon space space space straight b with rightwards arrow on top space equals space 2 straight i with hat on top space minus space 7 straight j with hat on top space minus space 3 straight k with hat on top semicolon space space straight c with rightwards arrow on top space equals space fraction numerator 1 over denominator square root of 3 end fraction straight i with hat on top space plus space fraction numerator 1 over denominator square root of 3 end fraction straight j with hat on top space minus space fraction numerator 1 over denominator square root of 3 end fraction straight k with hat on top

Solution

       straight a with rightwards arrow on top space equals space straight i with hat on top space plus space straight j with hat on top space plus space straight k with hat on top
therefore space space open vertical bar straight a with rightwards arrow on top close vertical bar space equals space square root of left parenthesis 1 right parenthesis squared plus left parenthesis 1 right parenthesis squared plus left parenthesis 1 right parenthesis squared end root space equals space square root of 1 plus 1 plus 1 end root space equals square root of 3 space space space space space space straight b with rightwards arrow on top space equals space 2 space straight i with hat on top space minus space 7 space straight j with hat on top space minus space 3 space straight k with hat on top therefore space space open vertical bar straight b with rightwards arrow on top close vertical bar space equals space square root of left parenthesis 2 right parenthesis squared plus left parenthesis negative 7 right parenthesis squared plus left parenthesis negative 3 right parenthesis squared end root space equals space square root of 4 plus 49 plus 9 end root space equals space square root of 62
        straight c with rightwards arrow on top space equals space fraction numerator 1 over denominator square root of 3 end fraction straight i with hat on top space plus space fraction numerator 1 over denominator square root of 3 end fraction straight j with hat on top space minus space fraction numerator 1 over denominator square root of 3 end fraction straight k with hat on top
therefore space space space space space space open vertical bar straight c with rightwards arrow on top close vertical bar space equals space square root of open parentheses fraction numerator 1 over denominator square root of 3 end fraction close parentheses squared plus open parentheses fraction numerator 1 over denominator square root of 3 end fraction close parentheses squared plus open parentheses negative fraction numerator 1 over denominator square root of 3 end fraction close parentheses squared end root space equals space square root of 1 third plus 1 third plus 1 third end root equals space square root of 1 space equals 1

Some More Questions From Vector Algebra Chapter

Classify the following measures as scalars and vectors.
40 watt

Classify the following measures as scalars and vectors.
10–19 coulomb

Classify the following measures as scalars and vectors.
20 m/s2

Classify the following measures as scalars and vectors.
time period

Classify the following measures as scalars and vectors.
distance

Classify the following measures as scalars and vectors.
force

Classify the following measures as scalars and vectors.
velocity

Classify the following measures as scalars and vectors.
work done

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation