" (b) Show that "bar(A)=hat i-5hat j" and "bar(B)=2hat i-10hat j" are parallel to cach other."

Show that vec A = hat I - 5 hat j and vec B= 2 hat I - 10 hat j are parallel to each other.

Let bar(a)=4hat i+3hat j-hat k,bar(b)=5hat i+2hat j+2hat k,bar(c)=2hat i-2hat j)-3hat k and bar(d)=4hat i-4hat j+3hat k; prove that bar(b)-bar(a) and bar(d)-bar(c) are parallel and find the ratio of their moduli.

If bar(a)=3hat i-3hat j-4hat k, bar(b)=hat i+2hat j+hat k and bar(c)=3hat i-hat j-2hat k , then [bar(a) bar(b) bar(c)] =

Given two vectors , bar(A)=hat i-2hat j-3hat k and bar(B)=4hat i-2hat j+6hat k .The angle made by (bar(A)+bar(B)) with the x -axis is

Given two vectors bar(A)=hat i-2hat j-3hat k and bar(B)=4hat i-2hat j+6hat k .The angle made by (bar(A)+bar(B)) with the X -axis is

If bar(P)=hat i+hat j+hat k,bar(Q)=2hat i-hat j-hat k , then bar(P)-bar(Q) is

bar A = 2 hat i + 3 hat j and bar b = 3 hat i + 5 hat j Then bar a xx bar b is

Let bar(u)=hat i+hat j, bar(v)=hat i-hat j,bar(w)=hat i+2hat j+3hat k , n unit vector such that bar(u).bar(n)=0,bar(v).bar(n)=0 then |bar(w).bar(n)| =

If bar(a)=hat i+2hat j-hat k and bar(b)=3hat i+hat j-5hat k find a unit vector in a direction parallel to vector (bar(a)-bar(b))