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Two vectors a and b add to give a resultant c=a b. In which cases angle between a and b is maximum? Options A.c=a b B.c^2=a^2 b^2 C.c=a-b?
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Two vectors a and b add to give a resultant c=a b. In which cases angl...
Maximum Angle between Vectors a and b
Introduction
When two vectors a and b are added together, they result in a resultant vector c = a + b. The angle between vectors a and b is an important factor that determines the magnitude and direction of vector c. In this guide, we will discuss in which cases the angle between vectors a and b is maximum.
Options
The given options are:
- Option A: c = a + b
- Option B: c^2 = a^2 + b^2
- Option C: c = a - b
Solution
The maximum angle between vectors a and b occurs when the magnitude of vector c is minimum. This is because the magnitude of vector c is directly proportional to the angle between vectors a and b. Therefore, we need to find the option that results in the minimum magnitude of vector c.
- Option A: c = a + b
- Option B: c^2 = a^2 + b^2
- Option C: c = a - b
When vectors a and b are added together, the magnitude of vector c is minimum when the angle between vectors a and b is 180 degrees (opposite direction). Therefore, option A is incorrect.
This option represents the Pythagorean Theorem, which is used to calculate the magnitude of the resultant vector when two vectors are perpendicular to each other. Therefore, this option is also incorrect.
When vectors a and b are subtracted from each other, the magnitude of vector c is minimum when the angle between vectors a and b is 0 degrees (same direction). Therefore, option C is correct.
Therefore, the correct answer is option C: c = a - b. The maximum angle between vectors a and b occurs when they are in the same direction.
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Two vectors a and b add to give a resultant c=a b. In which cases angle between a and b is maximum? Options A.c=a b B.c^2=a^2 b^2 C.c=a-b?
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Two vectors a and b add to give a resultant c=a b. In which cases angle between a and b is maximum? Options A.c=a b B.c^2=a^2 b^2 C.c=a-b? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two vectors a and b add to give a resultant c=a b. In which cases angle between a and b is maximum? Options A.c=a b B.c^2=a^2 b^2 C.c=a-b? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two vectors a and b add to give a resultant c=a b. In which cases angle between a and b is maximum? Options A.c=a b B.c^2=a^2 b^2 C.c=a-b?.
Two vectors a and b add to give a resultant c=a b. In which cases angle between a and b is maximum? Options A.c=a b B.c^2=a^2 b^2 C.c=a-b? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two vectors a and b add to give a resultant c=a b. In which cases angle between a and b is maximum? Options A.c=a b B.c^2=a^2 b^2 C.c=a-b? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two vectors a and b add to give a resultant c=a b. In which cases angle between a and b is maximum? Options A.c=a b B.c^2=a^2 b^2 C.c=a-b?.
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