vector and dot diagrams

[latkan]

2.
(a) Define carefully the dot and the vector product of two vectors a and b.
(b) Two unit vectors c and d are perpendicular. Find (c * d) * d
(c) The three points (1,2, -1) , (1,0, 1) and (2,1,1) form the vertices of a triangle. Find, using vector methods, the area of the triangle. Find also the angle between the two sides of the triangle which meet at (1,2, -1)
4.
(a) Define the dot and the cross product between two vectors a and b.
(b) Two unit vectors c and d are perpendicular. Find (c x d) x c.
(c) The three points (1, -2, 1), (0, 2, 1) and (-1, 1, 2) form the vertices of a triangle. Use vector methods to find the angle between the two sides of the triangle which meet at (0, 2, 1). Find, also, using vector methods, the area of the triangle.

Any ideas?

 

[Deleted member 4993]

2.
(a) Define carefully the dot and the vector product of two vectors a and b. <<< This is definition - straight out of the text book - where are you stuck?
(b) Two unit vectors c and d are perpendicular. Find (c * d) * d<<< What is the result of dot product of two perpendicular vectors?
(c) The three points (1,2, -1) , (1,0, 1) and (2,1,1) form the vertices of a triangle. Find, using vector methods, the area of the triangle. Find also the angle between the two sides of the triangle which meet at (1,2, -1)
4.
(a) Define the dot and the cross product between two vectors a and b.
(b) Two unit vectors c and d are perpendicular. Find (c x d) x c.
(c) The three points (1, -2, 1), (0, 2, 1) and (-1, 1, 2) form the vertices of a triangle. Use vector methods to find the angle between the two sides of the triangle which meet at (0, 2, 1). Find, also, using vector methods, the area of the triangle.

Any ideas?<< We have lots of ideas - where are yours?

Please show us your work, indicating exactly where you are stuck - so that we know where to begin to help you