If vector α=3i-j and vector β=2i+j-3k,then express vector β in the form vector β =vector β1+vector β2, where β1 is parallel to vector α and vector β2 is perpendicular to vector α .
1 Answers
Talk Doctor Online in Bissoy App
Prove that if a positive integer is of the form 6q + 5, then it is of the form 3q + 2 for some integer q, but not conversely.
Let, n = 6q + 5, when q is a positive integer We know that any positive integer is of the form 3k, or 3k + 1, or 3k + 2 ∴...
1 Answers 1 views
If vector A x vector B = vector B x vector A ,then the angle between A and B is
Answer is (a) π \(\vec{A}\times\vec{B}\) = AB sinθ \(\hat{n}\) \(\vec{B}\times\vec{A}\) = AB sin(2π - θ)\(\hat{n}\) AB sinθ \(\hat{n}\) = AB sin(2π - θ)\(\hat{n}\) θ = 2π - θ 2θ = 2π θ = π
1 Answers 1 views
The non-zero vectors vector a, vector b and vector c are related by vector a = 8vector b and vector c = - 7vector b.
(a) : vector a = 8vector b vector c = - 7vector b vector a and vector b are parallel and vector b and vector c are antiparallel. Thus vector a and vector c are...
1 Answers 1 views
The resultant of vector A and vector B makes an angle a with vector A and β with vector B, (a) α < β
The correct answer is (c) α < β if A > B
1 Answers 1 views
Let vector C = vector A + vector B. (a) | vector C | is always greater than | vector A |
(b) It is possible to have | vector C | < | vector A | and | vector C | < | vector B |
1 Answers 1 views
Let the angle between two nonzero vectors vector A and vector B be 120° and its resultant be vector C.
(c) C must be greater than | A - B|
1 Answers 2 views
Consider the following two equations : (A) vector R = 1/M∑imi vector ri and (B) vector a cm = vector F/M.
(c) A is correct but B is wrong
1 Answers 1 views
Two vector A and vector B are defined as vector A = ai and vector B = a(cosωti + sinωtj),
A +B=? How?
1 Answers 2 views
If vector a = 2i – j + 3k and vector b = (6i +λj +9k) and vector a || vector b, find the value of λ.
vector a || vector b ⇒ vector a × vector b = vector 0 ⇒ i(–9 – 3λ) + k(2λ + 6) = vector 0 ⇒ λ = – 3.
1 Answers 2 views
A cord in the form of a square enclose the area ‘S’ cm^2. if the same cord is bent into the form of a circle, then the area of the circle is
(D) The area of the circle is 4s/π.
1 Answers 1 views