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Find the angle between the vectors i+j-k and 2i - 2j + k.
Related Topics
Wize University Physics Textbook (Master) > Introduction to Vectors
Dot Product
4 Activities
Find the angle between the vectors
i
+
j
−
k
i+j-k
i
+
j
−
k
and
2
i
−
2
j
+
k
2i - 2j + k
2
i
−
2
j
+
k
.
θ
=
cos
−
1
(
−
1
2
)
\theta=\cos^{-1}\left(-\frac{1}{2}\right)
θ
=
cos
−
1
(
−
2
1
)
θ
=
cos
−
1
(
−
1
3
3
)
\theta=\cos^{-1}\left(-\frac{1}{3\sqrt{3}}\right)
θ
=
cos
−
1
(
−
3
3
1
)
θ
=
cos
−
1
(
1
3
)
\theta=\cos^{-1}\left(\frac{1}{\sqrt{3}}\right)
θ
=
cos
−
1
(
3
1
)
θ
=
cos
−
1
(
−
3
)
\theta=\cos^{-1}\left(-3\right)
θ
=
cos
−
1
(
−
3
)
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More Dot Product Questions:
Find the angle between the vectors
i
+
j
−
k
i+j-k
i
+
j
−
k
and
2
i
−
2
j
+
k
2i - 2j + k
2
i
−
2
j
+
k
.
Find the angle between the vectors
i
+
j
−
k
i+j-k
i
+
j
−
k
and
2
i
−
2
j
+
k
2i - 2j + k
2
i
−
2
j
+
k
.
If vector A is
(
1
,
2
,
3
)
\left(1,2,3\right)
(
1
,
2
,
3
)
and vector B is
(
3
,
4
,
−
5
)
\left(3,4,-5\right)
(
3
,
4
,
−
5
)
. Find the dot product of A and B.