If ` vec p=5 hat i+lambda hat j-3 hat k\ a n d\ vec q= hat i+3 hat j-5 hat k ,` then find the value of `lambda` such that ` vec p+ vec q` and ` vec p- vec q` are perpendicular vectors.

If vec p=5 hat i+lambda hat j-3 hat k and vec q= hat i+3 hat j-5 hat k , then find the value of lambda , so that vec p+ vec q and vec p- vec q are perpendicular vectors.

If p=5hat i+lambdahat j-3hat k and vec q=hat i+3hat j-5hat k then find the value of lambda such that vec p+vec q and vec p-vec q are perpendicular vectors.

If vec a= hat i-\ hat j+7 hat k and vec b=5 hat i-\ hat j+lambda hat k , then find the value of lambda, so that vec a+ vec b and vec a- vec b are perpendicular vectors.

If vec(a) = hat(i) - hat(j) + 7hat(k) and vec(b) = 5hat(i) - hat(j) + lambda hat(k) , then find the value of lambda so that vec(a) + vec(b) and vec(a) - vec(b) are perpendicular vectors.

If vec a=5 hat i- hat j-3 hat k ,\ a n d\ vec b= hat i+3 hat j-5 hat k then show that the vectors vec a+ vec b\ a n d\ vec a- vec b are perpendicular.

If vec a= hat i-2 hat j+3 hat k ,\ a n d\ vec b=2 hat i+3 hat j-5 hat k , then find vec axx vec bdot verify that vec a\ a n d\ vec axx vec b are perpendicular to each other.

If vec (a) = 3 hat (i) + 2 hat (j) + 9 hat (k) and vec(b) = hat (i) + lambda hat (j) + 3 hat (k) , then find the value of lambda so that the vectors (vec(a) + vec(b)) and (vec(a) - vec(b)) are perpendicular to each other .

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

If vec a=hat i+lambdahat j+hat k and vec b=hat i+hat j+hat k and |vec a+vec b|=|vec a|+|vec b| then the value of lambda is