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Mathematics
Mathematics
Problem
If
a
^
\hat{a}
a
^
is a unit vector and projection of
x
\mathbf{x}
x
along
a
^
\hat{a}
a
^
is 2 units and
(
a
^
×
x
)
+
b
=
x
(\hat{a} \times \mathbf{x}) + \mathbf{b} = \mathbf{x}
(
a
^
×
x
)
+
b
=
x
, then
x
\mathbf{x}
x
is equal to a.
1
2
[
a
^
−
b
+
(
a
^
×
b
)
]
\frac{1}{2}[\hat{a} - \mathbf{b} + (\hat{a} \times \mathbf{b})]
2
1
[
a
^
−
b
+
(
a
^
×
b
)]
b.
1
2
[
2
a
^
−
b
+
(
a
^
×
b
)
]
\frac{1}{2}[2\hat{a} - \mathbf{b} + (\hat{a} \times \mathbf{b})]
2
1
[
2
a
^
−
b
+
(
a
^
×
b
)]
c.
[
a
^
+
(
a
^
×
b
)
]
[\hat{a} + (\hat{a} \times \mathbf{b})]
[
a
^
+
(
a
^
×
b
)]
d. None of the above
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