SOLUTION: 1) If p=2i-3j, q=3i+5j and r=i+j find 2p+q-3r. 2) The position vectors of the points P,Q,R and S relative to the origin O are: P=Si-6j, Q=4i+4j, R=8i-9j, S=10i-25j respectively,

Algebra.Com
Question 1028187: 1) If p=2i-3j, q=3i+5j and r=i+j find 2p+q-3r.
2) The position vectors of the points P,Q,R and S relative to the origin O are: P=Si-6j, Q=4i+4j, R=8i-9j, S=10i-25j respectively,
I) 5p-3q+4r
Thank you :)
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
1) If p=2i-3j, q=3i+5j and r=i+j find 2p+q-3r.
Since p=2i-3j, q=3i+5j and r=i+j,

replace p by (2i-3j), q by (3i+5j), r by (i+j)

in  2p+q-3r, and get

2(2i-3j)+(3i+5j)-3(i+j)

Now use the distributive principle to remove
the parentheses:

4i-6j+3i+5j-3i-3j

Now collect like terms:

4i-4j

2) The position vectors of the points P,Q,R and S relative
to the origin O are: P=Si-6j, Q=4i+4j, R=8i-9j, S=10i-25j
respectively,
I) 5p-3q+4r
Are you mixing capital letters with small letters and 
using them to stand for the same things?

Do you mean 5P-3Q+4R and not 5p-3q+4r?  What do you mean by 
the S in P=Si-6j?  Is that the same S as in S=10i-25j?

Edwin
RELATED QUESTIONS

The position vectors of the points p,q,r and s relative to the origin O are: p=si-6j,... (answered by Alan3354)
(b) Show that the vectors P = 3i – 2j + k, Q = i – 3j + 5k, and R = 2i + j – 4k form a... (answered by Fombitz)
If P = 3i + 4j + 2k, Q = -2i - 5j - 3k and R = k then find resultant force... (answered by ikleyn)
Evening Everyone, Staying in on a saturday night doing work as a good student but stuck... (answered by stanbon)
Vector (r) has a magnitude of 10.5 units and is parallel to vector (q). Given that... (answered by ikleyn)
The lines l and m have vector equations r = 2i-j+4k+s(i+j- k) and r= -2i + 2j+ k+... (answered by math_tutor2020)
The lines l and m have vector equations r = 2i-j+4k+s(i+j- k) and r= -2i + 2j+ k+... (answered by ElectricPavlov)
The points A and B have position vectors, relative to the origin O, given by OA = -1 +... (answered by ElectricPavlov)
The lines l and m have vector equations r = 2i-j+4k+s(i+j- k) and r= -2i + 2j+ k+... (answered by Timnewman)