Question

Find the value of p, if the vector i-2j+k, 2i-5j+pk and 5i-9j+4k are coplanar

Answer 1

Answer:

Please first solve my problem

Answer 2

The value of p is -11.

Step-by-step explanation:

The given vectors are

i-2j+k,

2i-5j+pk

and 5i-9j+4k

These vectors are co planar if their scalar triple product is zero.

Therefore, we have

$\begin{vmatrix}1 & -2& 1 \\ 2& -5& p\\5&-9&4 \end{vmatrix}=0$

Solve this for p

$1(-20+9p)+2(8-5p)+1(-18+25)=0\\\\=-20+9p+16-10p+18-25=0\\\\-p-11=0\\\\p=-1$

Therefore, the value of p is -11.

#Learn More:

If vector A=5i +9j - 4k and vector B=2i+2j-ck are perpendicular to each other, then find  the value of c.

https://brainly.in/question/12354268