2. If a = 41 +3j and 5 = 31 +4j. the magnitude of a - b is
Answers
Answered by
8
Correct question:-
If a = 4i +3j and b = 3i +4j. the magnitude of |a - b| is
Answer:-
Given:-
a=4i +3j and b=3i +4j.
so,
Finding first a -b value
a -b = (4 i+3j)-(3i+4j)
a-b= (4-3)i + (3-4)j
a - b= 1i - 1j
Now magnitude of a - b
|a - b|= [(x-component)^2 + ( y-component)^2] ^1/2
|a-b|=
|a-b|= 1.414.
So, magnitude of |a-b|is 1.414.
Answered by
11
Answer: √2
Explanation:
Given,
a = 4i + 3j
And,
b = 3i + 4j
a - b = (4i + 3j) - (3i + 4j)
a - b = 4i + 3j - 3j - 4j
a - b = (4-3)i + (3 - 4)j
a - b = (1)i + (-1)j
a - b = i - j
Taking modulus of both sides,
|a - b| = √(1² + 1²)
|a - b| = √(1+1)
|a - b| = √2
Note:- Modulus of a vector ai + bj +ck is
given by √(a²+b²+c²)
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