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(d) answer any one question : (i) if thr...

(d) answer any one question : (i) if three vectors `vec a, vec b and vec c` of magnitudes 3,4and5 are such that each vector is perpendicular to the sum of the other two vectors,then prove that `|vec a+ vec b+vec c|= 5 sqrt 2`.

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If vec (a), vec(b) and vec ( c) are three vectors of magnitude 3,4 and 5 respectively such that each vector is perpendicular to the sum of the other two vectors , prove that | vec (a) + vec(b) + vec (c ) | = 5 sqrt (2)

Three vectors veca, vecb, vec c are such that |veca|=3, |vecb|=2, |vec c|=6 , if each vector is perpendicular to the sum of the other two vectors, then the value of |veca+vecb+vec c| is -

(d) answer any one question : (i) if the three vectors vec a, vec b, vec c= 0 are such that vec a+vec b+vec c= vec 0 and |vec a|=3 ,|vec b |=4 , |vec c|=5 , then show that vec a. vec b +vec b . vec c + vec c. vec a = -25

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answer any one question : (ii) let vec a= hat i+4 hat j+ 2hat k , vec b=3 hat i- 2 hat j +7 hat k and vec c= 2 hat i- hat j + 4 hat k . Find a vector vec d which is perpendicular to both the vectors vec a and vec b and vec c . vec d=18

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UNITED BOOK HOUSE-SET 16-EXERCISE
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  12. The position vectors of the points A,B,C and D are 6 hati - 7 hatj, 16...

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