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Grade 11Trigonometry

a paritvle moves 14m along vector 6i+2j+3k then 7m along 3i-2j+6k. Total displacement is?

Profile image of harsh jain
7 Years agoGrade 11
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2 Answers

Profile image of Aditya Gupta
ApprovedApproved Tutor Answer7 Years ago
Note that magnitudes of  3i-2j+6k and 6i+2j+3k are both 7
so displacement is given by:
14*( 6i+2j+3k)/7+7*(3i-2j+6k)/7
=12i+4j+6k+3i-2j+6k
=15i+2j+12k
Profile image of Shreekant Sharma
4 Years ago
Note that magnitudes of 3i-2j+6k and 6i+2j+3k are both 7
so displacement is given by:
14*( 6i+2j+3k)/7+7*(3i-2j+6k)/7
=12i+4j+6k+3i-2j+6k
=15i+2j+12k