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Mathematics
Mathematics
Problem
If
z
1
=
a
i
^
+
b
j
^
\mathbf{z}_1 = a\hat{i} + b\hat{j}
z
1
=
a
i
^
+
b
j
^
and
z
2
=
c
i
^
+
d
j
^
\mathbf{z}_2 = c\hat{i} + d\hat{j}
z
2
=
c
i
^
+
d
j
^
are two vectors in
i
^
\hat{i}
i
^
and
j
^
\hat{j}
j
^
system, where
∣
z
1
∣
=
∣
z
2
∣
=
r
|\mathbf{z}_1| = |\mathbf{z}_2| = r
∣
z
1
∣
=
∣
z
2
∣
=
r
and
z
1
⋅
z
2
=
0
\mathbf{z}_1 \cdot \mathbf{z}_2 = 0
z
1
⋅
z
2
=
0
, then
w
1
=
a
i
^
+
c
j
^
\mathbf{w}_1 = a\hat{i} + c\hat{j}
w
1
=
a
i
^
+
c
j
^
and
w
2
=
b
i
^
+
d
j
^
\mathbf{w}_2 = b\hat{i} + d\hat{j}
w
2
=
b
i
^
+
d
j
^
satisfy a.
∣
w
1
∣
=
r
|\mathbf{w}_1| = r
∣
w
1
∣
=
r
b.
∣
w
2
∣
=
r
|\mathbf{w}_2| = r
∣
w
2
∣
=
r
c.
w
1
⋅
w
2
=
0
\mathbf{w}_1 \cdot \mathbf{w}_2 = 0
w
1
⋅
w
2
=
0
d. None of the above
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