find a unit vector in the direction of the resultant of the vectors i-j+3k, 2i+j-2k and i+2j-2k
The vector given are :
i - j + 3k,
2i + j - 2k
and i + 2j - 2k
There resultant is simply add all there vectors .
Hence the resultant vector is 4i + 2j - k
And the magnitude of resultant vector is √[(42 + 22 + (-1)2] = √21
Hence the unit vector is (4i + 2j - k) / √21
i - j + 3k,
2i + j - 2k
and i + 2j - 2k
There resultant is simply add all there vectors .
Hence the resultant vector is 4i + 2j - k
And the magnitude of resultant vector is √[(42 + 22 + (-1)2] = √21
Hence the unit vector is (4i + 2j - k) / √21