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Perpendicular means that the angle between the two vectors is 90 degrees - a right angle. If you have the vectors as components, just take the dot product - if the dot product is zero, that means either that the vectors are perpendicular, or that one of the vectors has a magnitude of zero.
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How do you find the component of a vector perpendicular to another vector?
The component of a vector x perpendicular to the vector y is x*y*sin(A) where A is the angle between the two vectors.
What is the magnitude of two perpendicular vector?
The two vectors form the minor legs of a right angled triangle and the resultant is the hypotenuse of the triangle. Its magnitude, therefore, is the square root of the sum of the squared magnitudes of the two vectors.
What dos perpendicular mean?
Two lines are said to be perpendicular when they are at right angles. That means that the angle between them is 90 degrees.There are other meanings of perpendicular; for example, a line is said to be perpendicular to a plane when it is perpendicular to EVERY line of the plane that goes through the intersection.
Lines which cross at right angles are said to be?
perpendicular to each other
1 1 Check whether the following set of vectors is LD or LI?
(i) They are linearly dependent since the 2nd vector is twice the 1st vector. All 3 vectors lie in the x-z plane, so they don't span 3D space. (ii) They are linearly independent. Note that the cross-product of the first two is (-1,1,1). If the third vector is not perpendicular to the above cross-product, then the third vector does not lie in the plane defined by the first two vectors. (-1,1,1) "dot" (1,1,-1) = -1+1-1 = -1, not zero, so 3rd vector is not perpendicular to the cross product of the other two.
Is the sum and difference of two perpendicular vectors have same lengyhs and also perpendicular to each other?
Yes, the sum of two perpendicular vectors has the same length as the original vectors, and they are also perpendicular to each other. However, the difference of two perpendicular vectors may not have the same length as the original vectors, but they will still be perpendicular to each other.
When sum and difference vector of two vectors are perpendicular .are the vectors too perpendicular?
Yes.
A vedtor which is perpendicular to every vector?
The zero vector is not perpendicular to all vectors, but it is orthogonal to all vectors.
What is the difference between orthogonal and orthonormal vectors?
All vectors that are perpendicular (their dot product is zero) are orthogonal vectors.Orthonormal vectors are orthogonal unit vectors. Vectors are only orthonormal if they are both perpendicular have have a length of 1.
What is the importance of a dot product being equal to zero?
Vectors are said to be orthogonal if their dot product is zero.Vectors in Rn are perpendicular if they are nonzero and orthogonal.
Dot product of two perpendicular vectors?
Zero.
Real life example of two perpendicular vectors?
Dropping a bullet and shooting a bullet at the same time. They will touch the ground at the same time because they are perpendicular vectors.
What is the dot product of two perpendicular vectors?
zero is the answer
What is the condition when two vectors are addition and subtraction are same magnitude?
The condition is the two vectors are perpendicular to each other.
Show that the sum and difference of two prependicular vectors of equal length are also perpendicular of same length?
yes ithape ens only if the two vectors are perpendicular to eachothe we can equate their squares
What is the term givin to vectors the go in different directions?
Vectors that go in different directions are called orthogonal vectors. This means that the vectors are perpendicular to each other, with a 90 degree angle between them.
Which are the three vectors that act along the mutually perpendicular direction?
The three vectors that act along mutually perpendicular directions are the unit vectors in the x, y, and z directions, namely, i, j, and k. These vectors form the basis for three-dimensional space and are commonly used in physics and mathematics.
