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Vectors and Its Types

The magnitude...

Question

The magnitude of x & y components of vector( A) are 7 & 6 respectively. Also the magnitude of x &y components of vector(A+B) are 11 & 9 respectively. The magnitude of vector (B) is?

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Solution

A bolded notation is taken for indicating "vectors".
A= 7 i + 6 j
C=A+B=11i + 9j
B=C-A=(11i+9j)-(7i + 6j)
B= (11-7) i + (9-6)j
B= 4i + 3j

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