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Find the unit vector in the direction of \(-2i + 5j\).

Further Mathematics
WAEC 2016

Find the unit vector in the direction of \(-2i + 5j\).

  • A. \(\frac{1}{\sqrt{29}}(2i + 5j)\)
  • B. \(\frac{1}{\sqrt{29}}(-2i + 5j)\)
  • C. \(\frac{1}{29}(2i - 5j)\)
  • D. \(\frac{1}{29}(-2i - 5j)\)
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Correct Answer: Option B
Explanation

The unit vector, \(\hat{n}\) is given by \(\hat{n} = \frac{\overrightarrow{r}}{|\overrightarrow{r}|}\)

= \(\frac{(-2i + 5j)}{\sqrt{(-2)^{2} + 5^{2}}} = \frac{(-2i + 5j)}{\sqrt{29}}\)

= \(\frac{1}{\sqrt{29}}(-2i + 5j)\) 


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Your School's Whatsapp Group - Join Us now