Vector Algebra ...

Find the vector $$w$$ with the initial point $$(4,1,2)$$ and final point $$(1,6,5)$$.

Find $$2v$$, when $$u=(3,4,-2)$$ and $$v=(0,-4,0)$$.

Find the magnitude of the vector which joins the point $$A$$$$(4,5,6)$$ to $$B$$$$(10,11,12)$$.

Which of the following is not a unit vector for all values of $$\theta$$?

Find the vector $$w$$ with the initial point $$(8,-10,3)$$ and final point $$(1,10,7)$$.

The vector joining vector $$\vec{A}$$ to $$\vec{B}$$  is represented by:

Find the magnitude of the vector which joins the point $$A$$$$(-1,-3,-1)$$ to $$B$$$$(0,0,0)$$.

Find the vector $$w$$ with the initial point $$(a,b,c)$$ and final point $$(a+1,b+2,c+3)$$.

Find the magnitude of the vector which joins the point $$A$$$$(a,2,c)$$ to $$B$$$$(a+1,5,c+3)$$.

The coordinates of a point in $$3$$-D space is $$(3,1,2)$$. Then the position vector of the point is: