Yes, if the angle between the two vectors is more than 90o but less than 2700. (cosΘ is negative)
Solution
Given vectors are
a= (3,-1,-4), b=(-2,4,-3) and c=(-5,7,-1)
a-2b+c = (3,-1,-4) -2(-2,4,-3)+(-5,7,-1)
= (3,-1,-4) -(-4,8,-6)+(-5,7,-1)
={3-(-4)+(-5) , -1-8+7, -4-(-6)+(-1)}
= (2,-2, 1)
I)...
Consider two vectors P and Q with an angle θ between them. The sum of vectors P and Q is given by the vector R, the resultant sum vector using the parallelogram law of vector addition. If the resultant vector R makes an angle ϕ with the vector P, then the formulas for its magnitude and direction are:
Let us first see the...