If is added to , the result is a vector in the positive direction of the y axis, with a magnitude equal to that of. What is the magnitude of ?.

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07-02-2022
SAT

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If is added to , the result is a vector in the positive direction of the y axis, with a magnitude equal to that of. What is the magnitude of ?.

Sagot :

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AFOKE88 AFOKE88 · Answer 1 · 2022-02-15T08:46:05-05:00

The magnitude of Vector B from the given parameters and condition is; B^ = -3i + j

Vector Addition and Magnitude

From the question, we are give vector C as;

C^ = 3i + 4j

Therefore the magnitude of vector C is;

|C| = √(3² + 4²)

|C| = √25

|C| = 5

We are told that the sum of vector B and vector C is equal to magnitude of vector C in y-direction. Thus;

B^ + C^ = 5j

Thus;

B^ + (3i + 4j) = 5j

B^ = 5j - (3i + 4j)

B^ = -3i + j

The complete question is;

If (vector) B is added to (vector) C = 3.0i + 4.0j, the result is a vector in the positive direction of the y axis, with a magnitude equal to that of (vector) C. What is magnitude of (vector) B?

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Vector Addition and Magnitude

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