Let x→ and y→ are 2 non-zero and non-collinear vectors, then the largest value of k such that the non-zero vectors k^2-5k+6x→+k-3y→ and 2x→+5y→ are…

Question

Let x→ and y→ are 2 non-zero and non-collinear vectors, then the largest value of k such that the non-zero vectors k^2-5k+6x→+k-3y→ and 2x→+5y→ are collinear is

MARKS Content Team · Accepted Answer

Correct answer: (C) 12/5. Let, a→=k^2-5k+6x→+k-3y→ and b→=2x→+5y→ ∵a→ and b→ are collinear vectors ⇒(k^2-5k+6)/2=(k-3)/5 ⇒k=3,12/5 But, for k=3, a→=0 (not possible)

Let $\vec{x}$ and $\vec{y}$ are $2$ non-zero and non-collinear vectors, then the largest value of $k$ such that the non-zero vectors $(k^{2} - 5 k + 6) \vec{x} + (k - 3) \vec{y}$ and $2 \vec{x} + 5 \vec{y}$ are collinear is

Solution

More Vector Algebra Questions

Let x→ and y→ are 2 non-zero and non-collinear vectors, then the largest value of k such that the non-zero vectors k2-5k+6x→+k-3y→ and 2x→+5y→ are collinear is

Solution

More Vector Algebra Questions

Let $\vec{x}$ and $\vec{y}$ are $2$ non-zero and non-collinear vectors, then the largest value of $k$ such that the non-zero vectors $(k^{2} - 5 k + 6) \vec{x} + (k - 3) \vec{y}$ and $2 \vec{x} + 5 \vec{y}$ are collinear is