**vectorsFind the vector v if u*v=15, w*v=17, u=5i+2j, w=i-j.**

We have to find vector v if u*v=15, w*v=17 and u=5i+2j, w=i-j

Let v = ai + bj

u*v = 15 = 5a + 2b ...(1)

w*v = 17 = a - b ...(2)

(1) + 2*(2)

=> 5a + 2b + 2a - 2b = 34 + 15

=> 7a = 49

=> a = 7

17 = 7 - b

=> b = -10

**The vector v = 7i - 10j**

**vectorsFind the vector v if u*v=15, w*v=17, u=5i+2j, w=i-j .**

The vector v has to be determined given that u*v=15, w*v=17, u=5i+2j, w=i-j

Let v = ai + bj

u*v = 5a + 2b = 15

w*v = a - b = 17

5a + 2b + 2a - 2b = 15 + 34

=> 7a = 49

=> a = 7

b = -10

**The vector v = 7i - 10j**

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