Question 5 (1 point) Determine the resultant of the vectors by vector addition. V2 =180 m/s...
חו (1 point) Suppose V1, V2, V3 is an orthogonal set of vectors in R Let w be a vector in span(V1, V2, V3) such that (v1,vi) = 24, (v2,v2) = 21, (V3, V3) = 9, (w,v) 120, (w, v2) = 147, (w,v3) -36, Vi+ V2+ then w= V3.
(1 point) Suppose V1, V2, U3 is an orthogonal set of vectors in R. Let w be a vector in Span(V1, U2, U3) such that 01.01 = 33, U2 · U2 = 10.25, 03 · 03 = 36, W • V1 = 99, w · U2 = 71.75, w · Uz = -108, then w = Vi+ U2+ U3
(1) Let S (v1, V2,..., Vn be a set of vectors in a vector space V. (a) Define what does it mean for S to be linearly independent. (b) Define what does it mean for S to be a spanning set for V. (c) Define what does it mean for S to be a basis for v.
Can I get help with questions 2,3,4,6? be the (2) Determine if the following sequences of vectors vi, V2, V3 are linearly de- pendent or linearly independent (a) ces of V 0 0 V1= V2 = V3 = w. It (b) contains @0 (S) V1= Vo= Va (c) inations (CE) n m. -2 VI = V2= V3 (3) Consider the vectors 6) () Vo = V3 = in R2. Compute scalars ,2, E3 not all 0 such that I1V1+2V2 +r3V3...
(1 point) Find two vectors vi and v2 whose sum is (2, -5), where vi is parallel to (3,-1) while v2 is perpendicular to (3,-1). V1 and
5) Given the following displacement vectors and their resultant vector, determine the components that are missing. (Ax, B and C) A Ag ) + (-8 m ))+ (6 m )2 B = 10m )X+ ( By ) + (-3 m)2 +8 ( 5 m * + ( 4 m lý + c )2. R= ( 4 m )X + (0m) + (2 m)2 Ax 1m By = -3 m Cz = 1 m Ax = 1 m By = -...
5) Given the following displacement vectors and their resultant vector, determine the componerts that are missing. (A, B, and C.) A=( Ax ) + (-8 m )9+ (6 m )2 B= ( 10 m )X + ( B, D + (-3 m)2 +X= ( -5 m )x + ( 4 m lý +( G )2 R=( 4 m ) + (Om ) + (2 m)2 O Ax = - 1m By = 4 m Cz=-1m Ax=-1m By--3 m Cz-1m e...
1. Draw the following vectors and the resultant and calculate the magnitude and direction. Velocities of: 3m/s at 18° and 7m/s at 115° when acting simultaneously on a point. (7.27m/s at 90.8°) 2. A ship heads in a direction of E 20°S at a speed of 20 knots while the current is 4 knots in a direction of N 30° E. Draw the two vectors and the resultant. [21.07 knots, E 9.22° S] 3. An object is acted upon by...
1. Answer the following questions on vector addition. These do NOT need to be written out for your portfolio 590 NOTES IMAGES DISCUSS UNITSSTATS HELP Part Description Answer Chk History Vector A has a magnitude of 12 and vector B has a magnitude of 5. What is the maximum magnitude of A+B? 11 pts, 110% # tries: 0 Show Details 2% try penalty Hints: 0,0 11 pts, 110% 290 try penalty Hints: 0,0 What is the minimum magntidue of A+B?...
1. (1 point) Find two vectors vi and v2 whose sum is (-3,0), where Vi is parallel to(-2,-4) while v2 is perpendicular to-2,-4) and Answer(s) submitted: (incorrect) 2. (1 point) Find the angle θ between the vectors a- 10i -j- 5k and b 2i+j- 21k Answer (in radians): θ Answer(s) submitted: (incorrect) 3. (1 point) Find a vector a that has the same direction as -6,5,6) but has length 3. Answer: a Answer(s) submitted: (incorrect) 4. (1 point) Suppose we...