Multiple choice, no details required or graded. A vector in the x-y plane has co
ID: 1428178 • Letter: M
Question
Multiple choice, no details required or graded. A vector in the x-y plane has components Ax = 4 and Ay = 3(a) The magnitude of the vector is
[1] 0 [2] 3 [3] 4 [4] 5 [5] 7
(b) Which of the following vectors is parallel to vector A?
[1] Bx = -3 and By = 4
[2] Bx = 0 and By = 3
[3] Bx = 3 and By = 4
[4] Bx = 8 and By = 6
[5] Bx = 2 and By = 0
(c) Which of the vectors in the previous list is perpendicular to vector A?
(d) The angle between vector A and vector [5] in the previous list is most nearly
[1] 00 [2] 370 [3] 390 [4] 530 [5] 900 Multiple choice, no details required or graded. A vector in the x-y plane has components Ax = 4 and Ay = 3
(a) The magnitude of the vector is
[1] 0 [2] 3 [3] 4 [4] 5 [5] 7
(b) Which of the following vectors is parallel to vector A?
[1] Bx = -3 and By = 4
[2] Bx = 0 and By = 3
[3] Bx = 3 and By = 4
[4] Bx = 8 and By = 6
[5] Bx = 2 and By = 0
(c) Which of the vectors in the previous list is perpendicular to vector A?
(d) The angle between vector A and vector [5] in the previous list is most nearly
[1] 00 [2] 370 [3] 390 [4] 530 [5] 900
Explanation / Answer
here,
Part A:
magnitude of Vector, R
R = sqrt(x^2 + y^2)
R = sqrt(4^2 + 3^2)
R = 5
Part B:
Two vectors are parallel if their cross product is the zero vector. or two vectors are parallel if either is a constant multiple of the other.
so, option 4 is correct.
Part D:
angle, A = arcTan(y/x)
A = arcTan(0+3/2+4)
A = 79.695 degrees
Part C:
for vector to perpendicular,
vector 1 = a = 4i + 3j
Vector 2 = b
When a.b = a1*b1 + a2*b2 = 0
also, it may or may be stisfy , a*b = -a*b
Case 1: -3 * 4 + 4*3 = 0 hence option one is correct option,
Case 2: 0*3 + 3*3 = 9 not possible
case 3 : 3*4 + 4*3 = 12 + 12 This option is possible
Case 4 : 8*4 + 6*3 = 32 + 18 not possible
case 5 : 2*4 + 3*0 = 0 not possible
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.