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Show that the vectors and form the vertices of a right angled triangle.
MATHEMATICS · Subjective · A Level · Mathematics · Vectors · Vectors
Problem
17. Show that the vectors
2
i
^
−
j
^
+
k
^
,
i
^
−
3
j
^
−
5
k
^
2 \hat{i}-\hat{j}+\hat{k}, \hat{i}-3 \hat{j}-5 \hat{k}
2
i
^
−
j
^
+
k
^
,
i
^
−
3
j
^
−
5
k
^
and
3
i
^
−
4
j
^
−
4
k
^
3 \hat{i}-4 \hat{j}-4 \hat{k}
3
i
^
−
4
j
^
−
4
k
^
form the vertices of a right angled triangle.
Related theory
Vectors
Dot Product
Scalar product
Vector Algebra
Dot product of two vectors
Vector Operations
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