Find the unit vector in the direction of the given vector. Write your answer in (a) component form and (b) as a linear combination of the standard unitvectors i and j.v = (3,1)%3D(a) The component form of u, the unit vector in the direction of v, is(Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expressions.)((b) A linear combination for this vector is(Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expressions.)

V = 3,1we have to find unit vector

Find the unit vector in the direction of the given vector. Write your answer in (a) component form and (b) as a linear combination of the standard unit vectors i and j. v = (3,1) (a) The component form of u, the unit vector in the direction of v, is D. (Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expressions.) (b) A linear combination for this vector is i+ j. (Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expressions.)

Find the unit vector in the direction of the given vector. Write your answer in (a) component form and (b) as a linear combination of the standard unit vectors i and j. v = (3,1) (a) The component form of u, the unit vector in the direction of v, is D. (Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expressions.) (b) A linear combination for this vector is i+ j. (Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expressions.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 31E

See similar textbooks

Similar questions

Find the unit vector that has the same direction as the vector v. v = 13i - 5j ... The unit vector that has the same direction as the vector v = 13i – 5j is (Simplify your answer, including any radicals. Type your answer in the form ai + bj. Use integers or fractions for any numbers in the expression. Rationalize all denominators.)
How do you subtract two vectors algebraically? Geometrically?
Write the vector v in the form ai + bj, given its magnitude is v = 30 and the angle it makes with the positive x-axis is a=240°. V = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type your answer in the form ai + bj.)
State whether each expression is meaningful. If not, explain why. If so, state whether it is a vector or a scalar. (a) a· (b x c) The expression is meaningful. It is a vector. The expression is meaningful. It is a scalar. The expression is meaningless. The cross product is defined only for two vectors. The expression is meaningless. The dot product is defined only for two vectors. (b) a x (b· c) The expression is meaningful. It is a vector. The expression is meaningful. It is a scalar. The expression is meaningless. The cross product is defined only for two vectors. The expression is meaningless. The dot product is defined only for two vectors. (с) аx (Ьx с) The expression is meaningful. It is a vector. The expression is meaningful. It is a scalar. The expression is meaningless. The cross product is defined only for two vectors. The expression is meaningless. The dot product is defined only for two vectors. (d) a. (Ь с) The expression is meaningful. It is a vector. The expression is…
Write the vector v in terms of i and j whose magnitude |v|| and direction angle 0 are given. ||v|| = 12,0 = 60° V= (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Type your answer in the form ai + bj. Rationalize all denominators)
A jet is flying through a wind that is blowing with a speed of 50 mi/h in the direction N 30° E (see the figure). The jet has a speed of 780 mi/h relative to the air, and the pilot heads the jet in the direction N 45° E. 30° | 45° (a) Express the velocity of the wind as a vector in component form. 25i + 212j (b) Express the velocity of the jet relative to the air as a vector in component form. (c) Find the true velocity of the jet as a vector. (Round your answ to two decimal places.) (d) Find the true speed of the jet. (Round your answer to the nearest integer.) mi/h Find the direction of the jet. (Round your answer to the nearest integer.) N 45 X °E
a⃗ =⟨5, −1⟩ and b⃗ =⟨−2,−5⟩. Represent a⃗ +b⃗ using the head to tail method. Use the Vector tool to draw a⃗ and b⃗ , complete the head to tail method, and draw a⃗ +b⃗ . To use the Vector tool, select the initial point and then the terminal point.
Apply your understanding of vector operations to simplify the following algebraically
Find the unit vector that has the same direction as the vector v. v=24i + 7j The unit vector that has the same direction as the vector v is (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type your answer in terms of i and j.)
Find the unit vector in the direction of (-7,-6). Write your answer in component form. Do not approximate any numbers in your answer.
Express in terms of i. V - 36 V- 36 (Simplify your answer. Type your answer in the form a+ bi.)
state whether each expression is meaningful. If not, explain why. if so state whether it is a vector or a scalar