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TS EAMCET · Maths · Vector Algebra

Consider the vectors a¯=3i¯+5j¯+2k¯, b¯=2i¯-3j¯-5k¯ and c¯=-5i¯-2j¯+3k¯. If l, m and n are length of projections of a¯ on b¯, b¯ on c¯ and c¯ on a¯ respectively, then

  1. A l+m-n=0
  2. B l=m=n
  3. C l-m+n=0
  4. D m+n-l=0
Verified Solution

Answer & Solution

Correct Answer

(B) l=m=n

Step-by-step Solution

Detailed explanation

l=a→.b→b→=6-15-1022+-32+-52=-1938 m=b→.c→c→=-10+6-1522+32+-52=-1938 n=c→.a→a→=-15-10+632+52+22=-1938 So, l=m=n