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The vector is perpendicular to the vector if
MATHEMATICS · Subjective · A Level · Mathematics · Vectors · Vectors
Problem
The vector
2
i
^
+
α
j
^
+
k
^
2\hat{i} + \alpha\hat{j} + \hat{k}
2
i
^
+
α
j
^
+
k
^
is perpendicular to the vector
2
i
^
−
j
^
−
k
^
2\hat{i} - \hat{j} - \hat{k}
2
i
^
−
j
^
−
k
^
if (A)
α
=
5
\alpha = 5
α
=
5
(B)
α
=
−
5
\alpha = -5
α
=
−
5
(C)
α
=
−
3
\alpha = -3
α
=
−
3
(D)
α
=
3
\alpha = 3
α
=
3
Related theory
Dot Product
Vectors
Scalar product
Vector Algebra
Dot product of two vectors
Vector Operations
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