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Mathematics
Mathematics
Problem
If
x
⃗
=
3
i
^
−
6
j
^
−
k
^
\vec{x} = 3\hat{i} - 6\hat{j} - \hat{k}
x
=
3
i
^
−
6
j
^
−
k
^
,
y
⃗
=
i
^
+
4
j
^
−
3
k
^
\vec{y} = \hat{i} + 4\hat{j} - 3\hat{k}
y
=
i
^
+
4
j
^
−
3
k
^
and
z
⃗
=
3
i
^
−
4
j
^
−
12
k
^
\vec{z} = 3\hat{i} - 4\hat{j} - 12\hat{k}
z
=
3
i
^
−
4
j
^
−
12
k
^
then the magnitude of the projection of
x
⃗
×
y
⃗
\vec{x} \times \vec{y}
x
×
y
on
z
⃗
\vec{z}
z
is : (1) 13 (2) 14 (3) 15 (4) 12
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