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Mathematics
Mathematics
Problem
Identify the correct unit-vector form of a vector whose
x
x
x
-component is
0
0
0
,
y
y
y
-component is
4
4
4
, and
z
z
z
-component is
−
7
-7
−
7
. a)
4
65
j
^
−
7
65
k
^
\dfrac{4}{\sqrt{65}}\,\hat{j}-\dfrac{7}{\sqrt{65}}\,\hat{k}
65
4
j
^
−
65
7
k
^
b)
4
j
^
+
7
k
^
4\hat{j}+7\hat{k}
4
j
^
+
7
k
^
c)
4
i
^
−
7
k
^
4\hat{i}-7\hat{k}
4
i
^
−
7
k
^
d)
4
j
^
−
7
k
^
4\hat{j}-7\hat{k}
4
j
^
−
7
k
^
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