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Two particle of masses 100g and 300 g at...

Two particle of masses 100g and 300 g at a given time have positions `2 hat(i)+5hat(j)+13 hat(k) and -6hat(i)+4hat(j)-2hat(k)`m respectively and velocities `10 hat(i)-7hat(j)-3hat(k)and 7 hat(i)-9hat(j)+6 hat(k) "ms"^(-1)` respectively. Determine the instantaneous position and velocity of CM.

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The two vectors A=2hat(i)+hat(j)+3hat(k) and B=7hat(i)-5hat(j)-3hat(k) are :-

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The ratio in which hat(i)+2hat(j)+3hat(k) divides the join of -2hat(i)+ 3hat(j)+5hat(k) and 7hat(i)-hat(k) is

What is the projection of the vector hat(i)-2hat(j)-hat(k) on the vector 4hat(i)-4hat(j)+7hat(k) ?

vec(r )=(-4hat(i)+4hat(j) +hat(k)) + lambda (hat(i) +hat(j) -hat(k)) vec(r)=(-3hat(i) -8hat(j) -3hat(k)) + mu (2hat(i) +3hat(j) +3hat(k))

If 7hat(j)+10hat(k), -hat(i)+6hat(j)+6hat(k) and -4hat(i)+9hat(j)+6hat(k) are vertices of a triangle, then it is

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Find the sum of the vectors vec(a)=hat(i)-2hat(j)+hat(k), vec(b)=-2hat(i)+4hat(j)+5hat(k) , and vec(c )=hat(i)-6hat(j)-7hat(k) .

What is the projection of the vector hat(i)-2 hat(j) + hat(k) on the vector 4hat(i) - 4hat(j)+ 7hat(k) ?

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