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Mathematics
Mathematics
Problem
For a vector
A
⃗
=
A
x
i
^
+
A
y
j
^
\vec A = A_x\,\hat i + A_y\,\hat j
A
=
A
x
i
^
+
A
y
j
^
, which of the following expressions gives its magnitude
A
A
A
? a)
A
=
A
x
+
A
y
A = A_x + A_y
A
=
A
x
+
A
y
b)
A
=
A
x
2
+
A
y
2
A = \sqrt{A_x^2 + A_y^2}
A
=
A
x
2
+
A
y
2
c)
A
=
A
x
2
−
A
y
2
A = \sqrt{A_x^2 - A_y^2}
A
=
A
x
2
−
A
y
2
d)
A
=
A
x
2
+
A
y
2
2
A = \sqrt{\dfrac{A_x^2 + A_y^2}{2}}
A
=
2
A
x
2
+
A
y
2
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