# Vector Operations - Page 4

Questions

- What is the cross product of #<-3 ,-6 ,-3 ># and #<0 ,1 , -7 >#?
- How to find a vector A that has the same direction as ⟨−8,7,8⟩ but has length 3 ?
- What is the norm of #< 7 , -2, -1 >#?
- The two vectors A and B in the figure have equal magnitudes of 13.5 m and the angles are θ1 = 33° and θ2 = 110°. How to find (a) the x component and (b) the y component of their vector sum R , (c) the magnitude of R, and (d) the angle R ?
- What is # || < 4 , -3 , -8 > || #?
- How do you normalize #(- 3 i + 12j -k)#?
- What is the dot product of #<7,-8,1># and #<4,-6,3 >#?
- What is the unit vector that is orthogonal to the plane containing # (-2i- 3j + 2k) # and # (3i – 4j + 4k) #?
- What is the cross product of #<5, 2 ,5 ># and #<4 ,7 ,3 >#?
- Find the resultant vector? 1/6 of 240 m/s directed east ?= 1/4 of 240 m/s 1/5 of 250 degrees south of west
- How do you normalize #( - 5 i + 4 j - 5 k )#?
- What is the dot product of #<1,-4,5 ># and #<-5,7,3 >#?
- What is the cross product of #[-1, 2, 2]# and #[4,3,6] #?
- What is the cross product of #<5, 2 ,5 ># and #<4 ,1 ,9 >#?
- What is the dot product of #<-8,1,2 > # and #<-2,5,-1 > #?
- What is the direction of null vector?
- A train traveled 325 miles in 5 hours. What was the train's average rate of speed in miles per hour?
- A 15m vector and an 8m vector are combined in different ways. What would be the resultant if the vectors are pointing in the same direction? Opposite directions? Are perpendicular to each other? What is the maximum resultant? Minimum?
- What is the unit vector that is normal to the plane containing # ( i - 2 j + 3 k) # and # ( i + 7 j + 4 k) #?
- What is #|| <-1, 7, 4 > - < 2, 1, 1 > ||#?