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Let and . Calculate…
MATHEMATICS · Single correct · A Level · Mathematics · Vectors · Vectors
Problem
Let
p
=
(
1
,
4
,
−
2
)
\mathbf p = (1,4,-2)
p
=
(
1
,
4
,
−
2
)
and
q
=
(
3
,
−
1
,
5
)
\mathbf q = (3,-1,5)
q
=
(
3
,
−
1
,
5
)
. Calculate
(
2
p
−
q
)
⋅
(
p
+
q
)
(2\mathbf p-\mathbf q)\cdot(\mathbf p+\mathbf q)
(
2
p
−
q
)
⋅
(
p
+
q
)
. (a)
44
44
44
(b)
−
14
-14
−
14
(c)
−
4
-4
−
4
(d)
7
7
7
Related theory
Dot Product
Vectors
Scalar product
Vector Algebra
Dot product of two vectors
Vector Operations
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