The unit vector parallel to the resultant of the vectors 2i+3j-k and 4i-3j+2k is___
(A)1/✓37(6i+k)
(B)1/✓37(6i+j)
(C)1/✓37(6j+k)
(D)(6i+k)
Answers
Explanation:
180
o
Resultant of two vectors is given by parallelogram law of vector addition. As per this law, the resultant vector is R=
(
A
2
+B
2
+2ABcosθ). Here A and B are the two vectors and θ is the angle between them. You can see that R will be minimum when θ is equal to 180
o
that is when the 2 vectors are antiparallel to each other
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Answer:
1/√37 (6i + k)
Explanation:
Unit vector = vector/magnitude
Finding resultant vector :
Resultant is the sum of vectors(two or more).
Resultant = (2i + 3j - k) + (4i - 3j + 2k)
Resultant = 6i + k
Finding magnitude :
Magnitude of vector = √6² + 1²
Magnitude of vector = √37
Using, unit vector = vector/magnitude
Thus,
unit vector = (6i + k)/√37 = 1/√37 (6i + k)