in right angled triangle AB vector + BC vector + CA vector = 0. true or false
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Answer:
false ....,........... . ......
Answered by
0
On applying the triangle law of addition in the given triangle, we have:
AB
+
BC
=
AC
..........(1)
⇒
AB
+
BC
=−
CA
⇒
AB
+
BC
+
CA
=
0
..........(2)
∴ The equation given in alternative A is true.
AB
+
BC
=
AC
⇒
AB
+
BC
−
AC
=
0
∴ The equation given in alternative B is true.
From equation (2), we have:
AB
−
CB
+
CA
=0
∴ The equation given in alternative D is true.
Now, consider the equation given in alternative C:
AB
+
BC
−
CA
=
0
⇒
AB
+
BC
=
CA
.........(3)
From equations (1) and (3), we have:
AC
=
CA
⇒
AC
=−
AC
⇒
AC
+
AC
=
0
⇒2
AC
=
0
⇒
AC
=
0
, which is not true.
Hence, the equation given in alternative C is incorrect.
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