" If "bar(p)=2i+4j+14k" and "bar(Q)=4i+4j+10k" then find the magnitude of "bar(p)+bar(varrho)

If bar(P) = 2i + 4j + 14k and bar(Q) = 4i + 4j + 10k, find the magnitude of bar(P) + bar(Q) .

If bar(p) = xbar(i) + ybar(j) + zbar(k) , find the value of |bar(p) xx bar(k)|^(2)

If bar(P)=i+j+2k and bar(Q)=3i-2j+k ,the unit vector perpendicular to both bar(P) and bar(Q) is

If bar(a) = bar(i) - bar(j)-bar(k), bar(b) = 2bar(i) - 3bar(j) + bar(k) then find the projection vector of bar(b) on bar(a) and its magnitude.

If bar(a) = bar(i) + bar(j)+bar(k), bar(b) = 2bar(i) + 3bar(j) + bar(k) then find the projection vector of bar(b) on bar(a) and its magnitude.

If bar a=hat i+hat j-4hat k and bar(b)=hat 4i-hat j-2hat k then find (i) a unit vector in the direction of the vector (2bar(a)-bar(b))

If bar(a) = 2bar(i) - 3bar(j) + bar(k) and bar(b) = bar(i) + 4bar(j) -2bar(k) , then find (bar(a) + bar(b))xx(bar(a)-bar(b))