no
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1/a = 1/b: cross multiplying gives a = b
Your question makes no sense.... What you meant to say is:Is the sum of the square of magnitude of the cross product and the square of dot product of two vectors equal to the product of the square of their magnitudes?i.e:|A x B|2 +(A .B)2 = |A|2|B|2The answer is YES. It is called Lagrange's identity and is a special case of the Binet-Cauchy identity.(Ax B) .(Cx D)+(A.D)(B.C)=(A.C)(B.D)Where A= Cand B= D.
The dot-product and cross-product are used in high order physics and math when dealing with matrices or, for example, the properties of an electron (spin, orbit, etc.).
x = b/(a + c)
a varies directly as b and a = 12 when b = 4. What is the constant of variation?