[" A) Q.1.Find the vector "vec p" which is perpendicular to "],[qquad [" both "vec alpha=4hat i+5hat j-hat k" and "vec beta=hat i-4hat j+5hat k" and "],[vec p*vec q=21," where "vec q=3hat i+hat j-hat k]]

Find the vector vec p which is perpendicular to both vec alpha=4hat i+5hat j-hat k and vec beta=hat i-4hat j+5hat k and vec p*vec q=21, where vec q=3hat i+hat j-hat k

Find the vector vec(p) which is perpendicular to both vec(alpha) = 4hat(i) + 5hat(j) - hat(k) and vec(beta) = hat(i) - 4hat(j) + 5hat(k) and vec(p).vec(q) = 21 , where vec(q) = 3hat(i) + hat(j) - hat(k) .

Find a vector whose length is 3 and which is perpendicular to the vector vec a=3hat i+hat j-4hat k and vec b=6hat i+5hat j-2hat k

If vec a=3 hat i+4 hat j and vec b=hat i-hat j+hat k , find the value of | vec a*vec b|.

find |vec a xxvec b| where vec a=3hat i+4hat j and vec b=hat i+hat j+hat k

If quad vec a=3hat i-hat j-4hat k,vec b=-2hat i+4hat j-3hat k and vec c=hat i+2hat j-hat k find |3vec a-2vec b+4vec c|

Find the projection of vec b+vec c on vec a, where vec a=2hat i-2hat j+hat k,=hat i+2hat j-2hat j-2hat k and vec c=2hat i-hat j+4hat k

If vec A=hat i+hat j+hat k,vec B=4hat i+4hat j+4hat k and vec R=vec A+vec B then angle that vec R makes with vec A is

Find the angle between the vectors vec a and vec b where: vec a=2hat i-hat j+2hat k and vec b=4hat i+4hat j-2hat k

If vec a=5hat i-hat j-3hat k and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are orthogonal.