Suppose that `vec p,vecqand vecr` are three non- coplaner in `R^(3)` ,Let the components of a vector`vecs` along `vecp , vec q and vecr` be 4,3, and 5

Question

Suppose that `vec p,vecqand vecr` are three non- coplaner in `R^(3)` ,Let the components of a vector`vecs` along `vecp , vec q and vecr` be 4,3, and 5

Suppose that `vec p,vecqand vecr` are three non- coplaner in `R^(3)` ,Let the components of a vector`vecs` along `vecp , vec q and vecr` be 4,3, and 5, respectively , if the components this vector `vec s` along `(-vecp+vec q +vecr),(vecp-vecq+vecr) and (-vecp-vecq+vecr)` are x, y and z , respectively , then the value of `2x+y+z` is

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Related Questions

If `overset(vec)(F)` is force vector, `overset(vec)(v)` is velocity , `overset(vec)(a)` is acceleration vector and `overset(vec)(r)` vector is displac

2 Answers 5 Views

Let `A( vec a)a n dB( vec b)` be points on two skew lines ` vec r= vec a+lambda vec pa n d vec r= vec b+u vec q` and the shortest distance between the

2 Answers 5 Views

If `P_1:vec r.vecn_1-d_1=0` `P_2:vec r.vec n_2-d_2=0` and `P_3:vec r.vecn_3-d_3=0` are three non-coplanar vectors, then three lines `P_1= 0`, `P_2=0`;

2 Answers 5 Views

The projection of point `P(vecp)` on the plane `vecr.vecn=q` is `(vecs)`, then

2 Answers 4 Views

Statement 1: let `A( vec i+ vec j+ vec k)a n dB( vec i- vec j+ vec k)` be two points. Then point `P(2 vec i+3 vec j+ vec k)` lies exterior to the sphe

2 Answers 5 Views

Let O be the origin and` vec(OX) , vec(OY) , vec(OZ)` be three unit vector in the directions of the sides `vec(QR) , vec(RP),vec(PQ)` respectively , o

2 Answers 4 Views

Given `vec(a)+vec(b)+vec(c )+vec(d)=vec(O)`, which of the following statements is/are correct.

2 Answers 4 Views

`A , B , Ca n dD` are any four points in the space, then prove that `| vec A Bxx vec C D+ vec B Cxx vec A D+ vec C Axx vec B D|=4` (area of ` A B C` .

2 Answers 4 Views

If `veca,vecb and vecc` are non coplnar and non zero vectors and `vecr` is any vector in space then`[vecc vecr vecb]veca+pveca vecr vecc] vecb+[vecb v

2 Answers 4 Views

Given that `veca,vecb,vecp,vecq` are four vectors such that `veca + vecb= mu vecp,vecb.vecq=0 and (vecb)^(2) ` where `mu` is a sclar. Then `|(veca.vec

2 Answers 5 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - `(9)`
(9) According to question `vecs=4vecp+3vecq+5vecr`
`and vecs=x(-vecp+vecq+vecr)+y(vecp-vecq+vecr)+z(-vecp-vecq+vecr)`
`therefore -x+y-z=4`
`x-y-z=3`
`x+y+z=5`
Adding (1) and (2) , we get
`z=-(7)/(2)`
Adding (2) and (3) , we get
`x=4`
Adding (1) and (3) , we get
`y=9//2`
`therefore 2x+y+z=2(4)+1=9`