Vector Operations - Page 5
Questions
- What is the dot product of two vectors?
- What is the projection of #<0, 1, 3># onto #<3, 2, 1>#?
- What is the norm of #< 8 ,-2 , 5 >#?
- What is the cross product of #[1, 3, 4]# and #[3,2, 5] #?
- What is the unit vector that is orthogonal to the plane containing # ( - 4 i - 5 j + 2 k) # and # (4 i + 4 j + 2 k) #?
- How do you normalize # (3i – 4j + 4k) #?
- What is the cross product of #[3, -4, 2]# and #[1, 1, 18] #?
- What is the projection of #<2,4,3 ># onto #<-3,4,-1 >#?
- What is the projection of #<4,-1,6 ># onto #<1,3,-2 >#?
- What is the cross product of #<-2, 5 ,-2 ># and #<7 , -9 ,2 >#?
- What is the cross product of #[4, 0, 1]# and #[-1, 2, 3] #?
- What is the dot product of #<1,5,-3 ># and #<-8,3,-5 >#?
- What is the unit vector that is orthogonal to the plane containing # (3i + 2j - 6k) # and # (3i – 4j + 4k) #?
- What is #|| <-9, 3, 3 > - < 9, -2, 1 > ||#?
- How will you prove the formula #sin(A-B)=sinAcosB-cosAsinB# using formula of scalar product of two vectors?
- What is the projection of #<8,-1,6 ># onto #<-1,5,-3 >#?
- What is # || < -2 , -7 , 1 > || #?
- What is the unit vector that is normal to the plane containing #(- 3 i + j -k)# and #(- 4i + 5 j - 3k)?
- What is meant by a component of a vector?
- What is the projection of #<7,-5,6 ># onto #<-1,-3,7 >#?