Given p with magnitude of 40 and a direction of 25°, q with magnitude of 75 and a direction of 270°, and r with magnitude of 30 and a direction of 220°, what is the magnitude of p + q + r? Round to the thousandths place. a 42.379 b 68.926 c 76.232 d 78.509

Let B = 5.45 m at 60.0°. C and A have equal magnitudes. The direction angle of C is larger than that of A by 25.0°. Let A · B = 29.7 m2 and B · C = 33.9 m2. Find the magnitude (in m) and direction (in degrees) of A.

A vector has a magnitude of 30 and a direction of 40°. Another vector has a magnitude of 70 and a direction of 130°. What are the magnitude and direction of the resultant vector? Round the magnitude to the thousandths place and the direction to the nearest degree.  a 69.504; 73°  b 76.158; 73°  c 69.504; 107°  d 76.158; 107°

Vector A is 3 units in length and points along the positive x-axis; vector B is 4 units in length and points along a direction 37° from the positive x-axis, and vector C is 11.5 units and points along a direction 150°. What is the direction of the resultant with respect to the positive x-axis in degrees? 55.5o 284 133.2 ° O 114.77 ° 85.1 °

Two vectors, r and s lie in the xy plane. Their magnitudes are 4.58 and 8.82 units, respectively, and their directions are 304° and 76.0°, respectively, as measured counterclockwise from the positive x axis. What are the values of (a) r and (b) T x 3? (a) Number i -27.03 Units (b) Number i 30.02 Units

The figure shows four vectors, A, B, C, and D, having magnitudes 8.0 m, 15.0 m, 12.0 m, and 4.0 m, respectively. The sum of these four vectors is 30° y B 30° X

Y-COMPONENT MAGNITUDE DIRECT1ON -COM PONENT 3341 VECTOR 7.9 7.10 -3 40 16.00 1.10 6.40 -3.40 9.20 18.5 2.1 8.4 3014 319.3 -5:50 7.20 Ry: 8.0 115.3 4 SULTANT R

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Three vectors V₁, V2, V3 originate from a single point. The vector v₁ is on the x-y plane, at an angle of 30deg counter-clockwise from the positive x axis and has a magnitude of 500 units. The vector v₂ is on the y-z plane at an angle counter-clockwise from the positive y axis such than tan 0= 3/4 and has a magnitude of 400 units. Vector V3 has a magnitude of 800 units. If the direction of the resultant vector is defined by the unit vector Ug = cos 30º j + sin 30º k. (A) Determine the coordinate angles of v3. (B) Determine the magnitude of resultant vector. Report results in three significant figures.

43. John is walking around campus. John walks 2.4 km north. John then makes a left turn and walks 1.45 km west. Finally, John makes a right turn and walks 1.2 km north and sits on a bench. What is the magnitude and displacement of John from the starting point? А. 3.9 km, 24° north of west В. 3.9 km, 66° north of west С. 5.3 km, 70° north of west D. no answer is correct Е. 5.3 km, 59° north of west