please help me sovle this question
please help me sovle this question let c be 2 vectors perpendicular to each other in XY plane all vectors in same plane having projectims 1&2 along resgy are given by

Dear student
b=4i+3jSo, c=3λi-4λj for all values λ.We are choosing c such that b.c=0 as b and c  are .Let the required vector be a=pi+qjProjection of a in the direction of b=a.bb1=4p+3q5So, 4p+3q=5  ...12=3λp-4λq±5λSo, 3p-4q=10  ...2or 3p-4q=-10  ...3Modulus of c is 5λ if λ>0 and -5λ if λ<0Solving 1 and 2, we get p=2,q=-1 and solving 1 and 3, we getp=-25 and q=115So, a=2i-j or 15-2i+11j
Regards

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