Let 7 be the vector (5, 6, -7) and the vector (-0.625, 0.469, 0.625). What is ׈ ?
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- On a plane flat surface with "up" given as +y and "right" given as +x, we add two vectors. One of them has components (4, 4). Their sum is (3,6). What is the unknown second vector and what is its angle to the x-axis? Hint: The angle is the one that has a tangent that is the ratio of its y to its x component, or a sine that is the y component divided by its length. The second vector is (-1,-2). It is about 63° down from -x. The second vector is (7,10). It is about 55° up from +x. The second vector is (1,-2). It is about 63° down from +x. The second vector is (-1,2). It is about 63° up from -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 RFor the given vectors V₁ and V2, determine V₁ + V2, V₁ + V2, V₁-V2, V1X V2, V₂ X V₁, and V₁ V₂. Consider the vectors to be nondimensional. V₂ = 11 Answers: V₁ + V₂ = V₁ + V₂ = V₁-V₂= V₁x V₂ = V₂X V₁ = V₁ V₂ = 69° i i i i i i 4 3 V₁ = 13 i+ i i+ i+ i i i+ i j+ i j+ i i k k k k
- Given vector A = xz ax -xy ay +yz az Transform A into cylindrical coordinate and it's magnitude at point (1,30o,2) is equal to:Say that a is a vector (nonzero) in the third dimension. b and c are two other vectors. If a • b = a • c, and a x b = a x c, is b = c?Vector u = <-7,3,-5> and vector v = <-1,1,0>. Find u X (-9v)
- Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular to plane PQR. Р(- 1,1, - 2), Q(-2,0,1), R(0, -2, - 1)Vector v = <-4,4>. Draw the vector 1.5v and give its component form and its magnitude and direFor the given vectors V₁ and V₂, determine V₁ + V₂, V₁ + V2. V₁-V₂, V₁x V2, V₁ V₂. Consider the vectors to be nondimensional. Assume V₁ = 15, V₂ = 21, a = 3, b = 5,0 = 22° Answers: V₁ + V₂ = i V₁ + V₂ = (i j+ k) V₁-V₂= (i j+ k) V₁xV₂ = (i j+ k) V₁ V₂ = i+ i+ i+ i i i i
- If vector a= (-15,-3h,3k), vector B= (-2h, 14, -k) and vector c= (-1,-5,0) determine the values of h and k such that a_|_b and a_|_c.Vector v = <-4,4> and vector w = <-2,-1>. Draw the vector v+w and give its component form.The vector B⃗ is added to a vector C⃗ given as C⃗ = −3i ^ + j ^. The resultant vector obtained as a result of this process is R⃗ = B⃗ + C⃗. The resultant vector is in the positive y direction and the size of this vector is equal to the size of the B⃗ vector (| R⃗ | = | B⃗ |). According to what is given; a-) What is the size of the B⃗ vector? b-) What is the angle between the vector B⃗ and the vector C⃗?