[" (a) "4],[" Fifer "(1)/(a)=(1)/(a)" frid "|vec a timeshat i|^(2)+|vec a timeshat j|^(2)+|vec a timeshat k|^(2)" ateran "vec e-],[[" (a) "|vec a|^(2)," (b) "2|vec a|^(2)," (c) "3|vec a|^(2)]]

If bar(a)=2hat i-hat j+2hat k then the value of |bar(a)timeshat i|^(2)+|bar(a)timeshat j|^(2)+|bar(a)timeshat k|^(2)=

If vec a xx i+2vec a-4vec i-2vec j+vec k=0 then vec a=

If vec a . i = vec a . (2i+j) = vec a . (i+j+3k) = 1 , then vec a =

If bar(a)=3hat i+4hat j+5hat k then the value of (bar(a)timeshat i)^(2)+(bar(a)timeshat j)^(2)+(bar(a)timeshat k)^(2) is ......

[" If "bar(a)=3hat i+4hat j+5hat k" ,then the value of "],[(bar(a)timeshat i)^(2)+(bar(a)timeshat j)^(2)+(bar(a)timeshat k)^(2)" is "....],[" O "100],[" 110"],[" Q "90],[85]

Assertion (A): Let vec(a) = a_(1) vec(i) + a_(2) vec(j) + a_(3) vec(k) . Then identity |vec(a) xx vec(i)|^(2) + |vec(a) xx vec(j)|^(2) + |vec(a) xx vec(k)|^(2) =2|vec(a)|^(2) holds for vec(a) . Reason (R ): vec(a) xx vec(i) = a_(3) vec(j)- a_(2) vec(k), vec(a) xx vec(j) = a_(1) vec(k) - a_(3) vec(i), vec(a) xx vec(k)= a_(2) vec(i) - a_(1) vec(j) Which of the following is correct ?

If vec a = i-j+k and vec b = 2i+j-k then |2 vec a - vec b|=

If vec a = i + 2j, vec b = j +2k, vec c = i+2k then vec a . (vec b xx vec c) =

If vec a = 2vec i + 2vec j + vec kvec b = 5vec i + vec j + 2vec k then | vec a xxvec b | ^ (2) + (vec a * vec b) ^ (2) =