Set E1, E2 is two non-collinear vectors, and the vector A =2 E1− E2 and vector B= E1+λ E2 is a collinear vector, then the real number λ=______.
Let there be a real number m such that
A = m
B,
Then 2
E1−
E2= m (
E1+λ
E2)=m
E1+ mλ
E2,
Such representation are unique by that fundamental theorem of plane vectors,
M=2, mλ=-1,λ=-1
2.
Therefore, the answer is -1
2.
Given that non-zero vectors e1 and e2 are not collinear, if ke1+e2 is collinear with e1+ke2, obtain the value of k Given that the non-zero vectors e1 and e2 are not collinear, if ke1+e2 is collinear with e1+ke2, obtain the value of k
K/1=1/k
K =1 or k =-1
If a vector =(6,-8), what is the unit vector parallel to a vector? Ditto Dielsalder: why lambda can also =-1/10
0
If vector a=(6,-8), then is the unit vector parallel to a?
0
If A =(6,−8), then The unit vector in the opposite direction of a is ______.
0
A unit vector parallel to vector a=(6,7,-6)
0