Giren that p = -3i+j
and q = i-5j. find the
scalars h an d k if
hp+kq=(-9,17)

h=2 & k= –3

Step-by-step explanation:

substitute p and q into the equation :

h(–3i+j) +k(i–5j)= –9i +17j

expanding gives;

–3hi +hj + ki –5kj= –9i +17j

=>

–3h + k = –9___(1) and h – 5k = 17___(2)

from (1)

k= –9 +3h___(3) substituting into equation (2)

=>

h +45 –15h = 17

=> h= 2

substituting this value of h into (3)

=> k = –9+6= –3

therefore, h=2 and k= –3

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