SOLUTION: Given that a= 2i+3j-k, b=i-j+2k and c= 3i+4j+k, find a +2b - c? Find the area of parallelogram with verticies: (1,1,1), (4,4,4), (8,-3,14) and (11,0,17).

Question 1183430: Given that a= 2i+3j-k, b=i-j+2k and c= 3i+4j+k, find a +2b - c?
Find the area of parallelogram with verticies: (1,1,1), (4,4,4), (8,-3,14) and (11,0,17).
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The area of the parallelogram is just the magnitude of the cross product of the vectors spanning the parallelogram.
The vector from the point (1,1,1) to (4,4,4) is <3,3,3>. The vector from (1,1,1) to (8,-3, 14) is <7,-4,13>. Hence the area of the parallelogram is

, to 2 d.p.
RELATED QUESTIONS
a=2i+3j-k, b=i-j+2k and c=3i+4j+k. find... (answered by greenestamps)

given that a=2i+3j-k, b=i-j+2k, and c=3i+4j+k, find (a) a+2b-c, (b) a vector d such that... (answered by Alan3354,Edwin McCravy)

The points A, B, C and D have position vectors i +j +k, 2i+3j, 3i+5j-2k and -j+k... (answered by Fombitz)

Given the following vectors: b = -3i + 4j c = i - 2j e = -2j + k Calculate (b +... (answered by Alan3354)

Hi All, Having difficulty with this particular problem on a task sheet, any help... (answered by Fombitz)

show that the vectors a=2i+3j-k and b=3i-j+3k are... (answered by Alan3354)

Simplify the expression (A X B) ⋅ C a = 3i + 2j b = 2i + 3j + k c = 5i +... (answered by MathLover1)

1. Find the magnitude of the following vector: v = -2i - 4j. 2. Find the unit vector... (answered by Fombitz)

Evening All, Stuck on this vectors problem. a) In cartesian coordinates, the vector a... (answered by Fombitz)