The magnitude of vector A,BandC are respectively 12,5,13units and A+B=C then the angle between A and B ism
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15
Correct question :
The magnitude of vector A,BandC are respectively 12,5,13units and vector (A+B=C) then the angle between A and B ism
Answer:
Angle between the two vectors
➪ 90°
Step by step explanations :
given that,
The magnitude of vector A, B and C are respectively 12 ,5,13 units
also given that,
a^-> + b^-> = c^->
so,
a^-> + b^->
= √(a² + b² + 2ab cosθ)
According to the question,
c² = a² + b² + 2ab cosθ
where,
a = 12
b = 5
c = 13
putting the values,
13² = 12² + 5² + 2(12)(5)cosθ
169 = 144 + 25 + 120cosθ
169 + 120cosθ = 169
120cosθ = 169 - 169
120cosθ = 0
cosθ = 0
θ= 90°
so,
Angle between the two vectors
90°
Answered by
18
ANSWER:
90°
EXPLAINATION REFER TO THE ATTACHMENT
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