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Mathematics
Mathematics
Problem
Vectors
A
=
4
i
^
+
3
j
^
\mathbf{A}=4\,\mathbf{\hat{i}}+3\,\mathbf{\hat{j}}
A
=
4
i
^
+
3
j
^
and
B
=
−
1
i
^
+
5
j
^
\mathbf{B}=-1\,\mathbf{\hat{i}}+5\,\mathbf{\hat{j}}
B
=
−
1
i
^
+
5
j
^
are taken one after the other as two sides of a triangle. Which of the following vectors must be the third side so that the triangle closes? a)
3
i
^
+
8
j
^
3\,\hat{\mathbf{i}}+8\,\hat{\mathbf{j}}
3
i
^
+
8
j
^
b)
8
i
^
+
3
j
^
8\,\hat{\mathbf{i}}+3\,\hat{\mathbf{j}}
8
i
^
+
3
j
^
c)
−
3
i
^
−
8
j
^
-3\,\hat{\mathbf{i}}-8\,\hat{\mathbf{j}}
−
3
i
^
−
8
j
^
d)
−
3
i
^
+
8
j
^
-3\,\hat{\mathbf{i}}+8\,\hat{\mathbf{j}}
−
3
i
^
+
8
j
^
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