If not, when would linear dependency imply coplanarity?

If not, when would linear dependency imply coplanarity?

if a=i+2j+3k, b= -i+k , c= j+k and d= -2i+j+k, then d equals.. A.a+3b-c B.-2a+c C.-3a-b+5c D.-a+b+3c E.5a-7b-9c

find planes true speed and direction

can't seem to find the equation that works so i need help for my college algebra class on expressing vectors from the ones given

A balloon is flying at a constant speed of 20 mi / h at a bearing of N 36° E. There is a 10 mi / h crosswind blowing due east. What are the balloon's actual speed and direction? Round angles to the...

u=(1,2,1,1) v=(0,1,2,1) w=(2,3,0,1)

Suppose u•(v x w) =3 find a) v•(u x w ) b) (u x w) • v c) v• ( w x w)

(x,y,z)= (3,-1,0) +t(4,-1,2) and the plane x+2y-z=7

I have no idea what Im doing wrong but I keep getting the wrong answer. What I did first was find two points. So I set z=0 and x=0 . Then I created two vectors and did the cross product for ABxAC...

||v||=6 the angle = 45 degrees

Suppose u,v and w are vectors in R3.Show by means of a counter example that:?

A plane is taking off with a velocity of 345 m/s making an angle of elevation of 48 degrees with the horizontal. Find the components of the planes magnitude. How fast is the plane going up vertically...

The hour hand of a world famous clock is 2.74M long while the minute hand is 4.2M long. Determine the displacement from the tip of the hour hand at -12.30 and 13.17 Calculate distance...

An airplane flying parallel to the ground undergoes two consecutive displacements. The first is 75 km 30.0° west of north, and the second is 155 km 60.0° east of north. What is the total...

A plane travels 2.5 km at an angle of 35° to the ground and then changes direction and travels 5.2 km at an angle of 22° to the ground. What is the magnitude and direction of the plane’s...

The magnitude of the resultant force is _ lbs. (Round to the nearest tenth as needed.)

there are two vectors say vector A and vector B. Then what is vector AB? Is it (A-B) or (B-A)?

I would like some help on just how to solve these kind of problems as I am stuck on it.

During a rodeo, a clown runs 8.0 m north, turns 55° north of east, and runs 3.5 m. Then, after waiting for the bull to come near, the clown turns due east and runs 5.0 m to exit the arena...

Given the points A(2,-1,4) B(-1,0,3) , a) find a unit vector parallel to AB ? b)find a vector parallel to AB and oppositely directed to AB with a length of 4. I...