Among all the unit vectors u=(x, y, z) in R^3, find the one for which the sum x+7y+3z is minimal. Among all the unit vectors u

Among all the unit vectors u=(x, y, z) in R^3, find the one for which the sum x+7y+3z is minimal. Among all the unit vectors u

a pedestrian walks a rate of 6km per hour east. The wind pushes him northwest at a rate of 13 km. per hour. Find the magnitude of the resultant vector

determine whether the vector (-4, -9, 2, -1) is in the subspace v=span{( 1, 3, -2, 1), ( -3, -9, 6, -3), (2, 5, -2, 1), (3, 8, -4, 2)}

A rhombus ABCD has vertices with position vectors a = pi + 5j, b = 2i + 12j, c = (q + 4)i + qj and d = 22i + 2j. Find the values of p and q. I really appreciate...

Finding the area of a triangle

a) you add them b) you subtract them

I have projections down good, but I keep getting the orthogonal complement wrong. QUESTION a = <0,2,-5> b = <6,8,-3> compute...

Determine whether the vectors a and b are parallel, orthogonal, or neither: a=〈3,5〉 and b=〈-10,-6〉

Assume u4 is not a linear combination of {u1,u2,u3} A. {u1,u2,u3,u4} is never a linearly dependent set of vectors. B. {u1,u2,u3,u4} could be a linearly independent or linearly...

So if (ab)(ac)= 4sqaureroot of 3 and IabI IacI = 10 (magnitude) how do i find the area of the triangle? this is dealing with vectors

this is a question of vector.&¶=theta

the vector [-14,-7,19] is a linear combination of vectors [-3,-3,-3] and [10,9,-10] if and only if the matrix equation Ax = b has a solution x where A = [? ?] and...

The answer needs to be simplified and written in the form of ai+bj.

A weight of 100 pounds is suspended by two ropes A and B. Rope A makes an angle of 30 degrees with the ceiling and rope B makes an angle of 45 degrees with the ceiling. What are the magnitudes of...

A kid starts zigzagging away from his friend and finally get hit. The friend walks directly to him after he got hit. What is the magnitude and direction the kid with the gun takes toward his friend...

The position vectors of A and B relative to an origin O are (p, q) and (q, r) respectively where q≠0. Find an equation connecting p, q, and r in each of the cases: (i). O, A and B are collinear...

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

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

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