18. A child throws a ball with a speed of 5 feet per second at an angle of 54° with the horizontal. Express the vector described in terms of i and j. If exact values aren't possible, round components to 3 decimals.

Q: nd the length of the vector fo raight line joining the points 5,2). Also find the angle made

A: Given, The vector is formed by the straight line joining the points 1,3 and5,2. The length is to be…

Q: An airplane takes of heading east at a speed of 459 miles per hour at an angle of 15 degrees with…

A: Given that: speed of the plane= speed of 459 miles per hour The horizontal component is parallel…

Q: Illustrate how you would find the unit vector having the same direction as vector (p.q.r).

A: Given vector is p,q,r. We have to illustrate the method to find the unit vector having same…

Q: . Find a unit vector in the direction of 2 25 5 1

A:

Q: Find the unit vector e, if v = (-4, 3) ev = <

A: here we have to find the unit vector.

Q: Determine the direction angle 0 of the vector to the nearest degree. t= (9, 7) (Round to the nearest…

A:

Q: Suppose only F acts on the object and with this force only, the object experiences a displacement…

A: Introduction: When a force is acted upon an object, there is a displacement. The dot product of the…

Q: Express the following vector as the product of its magnitude and a unit vector: v=(3/5)i^ + (4/5)k^

A:

Q: How can we find the cartesian equation from a vector equation?

A: Equation of line in vector form is:r→=a→+λb→Where,a→=x1i→+y1j→+z1k→ b→=b1i→+b2j→+b3k→

Q: 2. Which of the following is not a unit vector? A. (0-2) 0. √5 √5 B. (cos 1, sin 1, 0) C. (1, 1, 1)

A: A vector v whose magnitude is 1 is called a unit vector. A vector v whose magnitude is any positive…

Q: Find the smallest positive angle between the given vectors to the nearest tenth of a degree:  and

A:

Q: 1. Use components to find the magnitude and direction of a) Ã + B; b) Ã – B; c) B – Ã. Ã (2.80 cm)…

A: a) The magnitude of given vectors are A→=2.80cmB→=1.90cm The X and Y components of  A→ are…

Q: A vector with magnitude 7 points in a direction 295 degrees counterclockwise from the positive x…

A:

Q: et a . Find a unit vector in the -

A:

Q: 8. Find a vector that has the opposite direction as u = but has length 4.

A:

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.