Find the angle between the vectors i+j-k and 2i - 2j + k.

4 Activities

Find the angle between the vectors i+j−ki+j-ki+j−k and 2i−2j+k2i - 2j + k2i−2j+k.

θ=cos⁡−1(−12)\theta=\cos^{-1}\left(-\frac{1}{2}\right)θ=cos−1(−21​)

θ=cos⁡−1(−133)\theta=\cos^{-1}\left(-\frac{1}{3\sqrt{3}}\right)θ=cos−1(−33​1​)

θ=cos⁡−1(13)\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)

I don't know

Find the angle between the vectors i+j−ki+j-ki+j−k and 2i−2j+k2i - 2j + k2i−2j+k.

Find the angle between the vectors i+j−ki+j-ki+j−k and 2i−2j+k2i - 2j + k2i−2j+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.