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=______.

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