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Vector when added to the vector B equal to 3.0 ICAP 4.0 J cap is the resultant vector that in position while direction and has magnitude equal to the vector of them in the magnitude of vector of a?
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Vector when added to the vector B equal to 3.0 ICAP 4.0 J cap is the...
Explanation:
Given, vector B = 3.0i + 4.0j
Let vector A = xi + yj
Now, vector A + vector B = vector R (Resultant Vector)
Therefore, xi + yj + 3.0i + 4.0j = R
Combining like terms, (x+3)i + (y+4)j = R
Since we know that the magnitude of vector A is equal to the magnitude of vector R, we can set up an equation:
|A| = |R|
Using the formula for magnitude, we get:
|A| = √(x^2 + y^2) and |R| = √((x+3)^2 + (y+4)^2)
Setting these equal to each other:
√(x^2 + y^2) = √((x+3)^2 + (y+4)^2)
Squaring both sides:
x^2 + y^2 = (x+3)^2 + (y+4)^2
Expanding:
x^2 + y^2 = x^2 + 6x + 9 + y^2 + 8y + 16
Cancelling like terms:
6x + 8y = -25
Thus, any vector of the form xi + yj, where 6x + 8y = -25, when added to vector B, will result in a vector with the same magnitude as vector A.
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Vector when added to the vector B equal to 3.0 ICAP 4.0 J cap is the resultant vector that in position while direction and has magnitude equal to the vector of them in the magnitude of vector of a?
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Vector when added to the vector B equal to 3.0 ICAP 4.0 J cap is the resultant vector that in position while direction and has magnitude equal to the vector of them in the magnitude of vector of a? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Vector when added to the vector B equal to 3.0 ICAP 4.0 J cap is the resultant vector that in position while direction and has magnitude equal to the vector of them in the magnitude of vector of a? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Vector when added to the vector B equal to 3.0 ICAP 4.0 J cap is the resultant vector that in position while direction and has magnitude equal to the vector of them in the magnitude of vector of a?.
Vector when added to the vector B equal to 3.0 ICAP 4.0 J cap is the resultant vector that in position while direction and has magnitude equal to the vector of them in the magnitude of vector of a? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Vector when added to the vector B equal to 3.0 ICAP 4.0 J cap is the resultant vector that in position while direction and has magnitude equal to the vector of them in the magnitude of vector of a? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Vector when added to the vector B equal to 3.0 ICAP 4.0 J cap is the resultant vector that in position while direction and has magnitude equal to the vector of them in the magnitude of vector of a?.
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