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Statement I If and
MATHEMATICS · Multi-part · A Level · Mathematics · Vectors · Vectors
Problem
1.
Statement I
If
∣
a
∣
=
3
,
∣
b
∣
=
4
|a| = 3, |b| = 4
∣
a
∣
=
3
,
∣
b
∣
=
4
and
∣
a
+
b
∣
=
5
|a + b| = 5
∣
a
+
b
∣
=
5
, then
∣
a
−
b
∣
=
5
|a - b| = 5
∣
a
−
b
∣
=
5
. (1)
Statement I
If
∣
a
∣
=
3
,
∣
b
∣
=
4
|a| = 3, |b| = 4
∣
a
∣
=
3
,
∣
b
∣
=
4
and
∣
a
+
b
∣
=
5
|a + b| = 5
∣
a
+
b
∣
=
5
, then
∣
a
−
b
∣
=
5
|a - b| = 5
∣
a
−
b
∣
=
5
. (2)
Statement II
The length of the diagonals of a rectangle is the same.
Related theory
Types of Quadrilaterals
Quadrilaterals
Dot Product
Vectors
Scalar product
Vector Algebra
Dot product of two vectors
Vector Operations
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