If a vector has magnitude 10 unit and Direction 3i - 4j then find a vector
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Given,
The magnitude of the vector = 10 units
The direction of the required vector = 3i - 4j
To Find,
The vector with given magnitude and direction.
Solution,
First, we will find the unit vector of the direction vector.
Unit vector = (3i-4j)/√(3²+4²)
Unit vector = (3i-4j)/5
Now,
The magnitude of the vector should be 10
So, the required vector will be
Vector = 10*(3i-4j)/5 = 2*(3i-4j)
Vector = 6i - 4j
Hence, the required vector is 6i - 4j.
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