What is the projection of the vector I 2j 3k on the vector 4i 4j 7k?

The projection of the vector i – 2j + k on the vector 4i – 4j + 7k is. 35.

What is the formula of projection of a vector?

The vector projection of a vector onto a given direction has a magnitude equal to the scalar projection. The formula for the projection vector is given by projuv=(u⋅v|u|)u|u|.

What is the unit vector which is perpendicular to both I 2j 3k and I 2j k?

Step-by-step explanation: Let A=ai+bj+ck be a vector which is perpendicular to B=i-2j+3k and C=i+2j-k. Thus A=-i+j+k. Hence required unit vector along vector A=(-i+j+k)/√(3).

What is meant by projection formula?

Definition of projection formula : a perspective formula projected so as to represent it in two dimensions — compare structural formula.

What is the projection of B on A?

The vector projection of b onto a is the vector with this length that begins at the point A points in the same direction (or opposite direction if the scalar projection is negative) as a. This quantity is also called the component of b in the a direction (hence the notation comp).

What is the projection on a on B?

The scalar projection a on b is a scalar which has a negative sign if 90 degrees < θ ≤ 180 degrees. It coincides with the length ‖c‖ of the vector projection if the angle is smaller than 90°.

What is the condition for the vectors 2i 3j 4k and 3i J BK to be parallel?

They can not be parallel. For them to be parallel the coefficients of i^,j^i^,j^ and k^k^ must be proportional.

Which of the following is the unit vector perpendicular to → A and → B?

∴ Unit vector perpendicular to →A and →B is given by ^n=→A×→BAB sinθ Q3. Vector →a has components ax=3,ay=4. Find the components of a vector →c which is perpendicular to →a and has a magnitude of 5 units.

What is the projection of a 4k on the y axis?

∴Projection of Vector in Y axis is Zero.