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+1 vote
3.6k views
in Nature of Physical World and Measurement by (55 points)
edited by

Two vectors are given as r = 2i + 3j + 5k and F = 3i - 2j + 4k. Find the resultant vector.

\(\overrightarrow r = 2\hat i + 3\hat j + 5\hat k\)

 \(\overrightarrow F = 3\hat i + 2\hat j + 4\hat k\) 

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1 Answer

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by (37.4k points)

Given 

\(\overrightarrow r = 2\hat i + 3\hat j + 5\hat k\)

 \(\overrightarrow F= 3\hat i + 2\hat j + 4\hat k\) 

Resultant vector T = r x F

T = \(\begin{vmatrix}\hat i& \hat j&\hat k\\2&3&5\\3&-2&4\end{vmatrix}\)

T = \(\hat i (12+10) - \hat j (8-15) + \hat k (-4-9)\)

T = \(22 \hat i + 7 \hat j - 13 \hat k\)

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