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Mathematics
Problem
A vector whose modulus is
51
\sqrt{51}
51
and makes the same angle with
a
=
i
^
−
2
j
^
+
2
k
^
3
\mathbf{a} = \frac{\hat{i} - 2\hat{j} + 2\hat{k}}{3}
a
=
3
i
^
−
2
j
^
+
2
k
^
,
b
=
−
4
i
^
−
3
k
^
5
\mathbf{b} = \frac{-4\hat{i} - 3\hat{k}}{5}
b
=
5
−
4
i
^
−
3
k
^
and
c
=
j
^
\mathbf{c} = \hat{j}
c
=
j
^
, will be a.
5
i
^
+
5
j
^
+
k
^
5\hat{i} + 5\hat{j} + \hat{k}
5
i
^
+
5
j
^
+
k
^
b.
5
i
^
+
j
^
−
5
k
^
5\hat{i} + \hat{j} - 5\hat{k}
5
i
^
+
j
^
−
5
k
^
c.
5
i
^
+
j
^
+
5
k
^
5\hat{i} + \hat{j} + 5\hat{k}
5
i
^
+
j
^
+
5
k
^
d.
±
(
5
i
^
−
j
^
−
5
k
^
)
\pm (5\hat{i} - \hat{j} - 5\hat{k})
±
(
5
i
^
−
j
^
−
5
k
^
)
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