A=3i+4j and B =i-j , are two vector in x-y plane. Find the magnitude of the sum of these two vectors.
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Answered by
72
A=3i+4j and B =i-j , are two vector in x-y plane.
Let their resultant is given by
R , Thus R = 3i+4j + i - j => 4i -3j
We know resultant to two vectors is given by
R = √A²+B²+2ABcos∅
Here ∅ = 90° since the vectors are perpendicular to each other
thus R = √4²+(-3)²+0 => 5
Let their resultant is given by
R , Thus R = 3i+4j + i - j => 4i -3j
We know resultant to two vectors is given by
R = √A²+B²+2ABcos∅
Here ∅ = 90° since the vectors are perpendicular to each other
thus R = √4²+(-3)²+0 => 5
Answered by
27
Add these two vectors first, then find its magnitude using
R=√A²+B²+2ABcos90°
cos90° = 0 since vectors are in x-y plane,so angle is 90°.
hope it helps. :)
R=√A²+B²+2ABcos90°
cos90° = 0 since vectors are in x-y plane,so angle is 90°.
hope it helps. :)
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