WBJEE 2015 Math Solved Paper

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Question : 5 of 80

Marks: +1, -0

Which of the following is not always true ?

|
→
a
+
→
b
|2 = |
→
a
| + |
→
b
| if
→
a
and
→
b
are perpendicular to each other
|
→
a
+λ
→
b
| ≥ |
→
a
| for all λ ∊ R if
→
a
and
→
b
are perpendicular to each other
|
→
a
+
→
b
|2 + |
→
a
−
→
b
|2 = 2(|
→
a
|2+|
→
b
|2)
|
→
a
+λ
→
b
| ≥ |
→
a
| for all λ ∊ R if
→
a
is parallel to
→
b

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