science(physics)

given vectors ,
Vector a= 2i + 3j, then the angle between vector a and y axis is?
Plz solve

  1. 👍 0
  2. 👎 0
  3. 👁 227
  1. cosine theta = (a*i)/|a|
    |a| is the magnitude of the a vector,
    which is sqrt13 = 3.6056
    a*1 is the dot product of a and the i vector, which is 2.

    Therefore cos theta = 2/3.6056 = 0.5547
    theta = 56.3 degrees

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    You are given vectors A = 5.0i - 6.5j & B = -3.5i + 7.0j. A third vector C lies on the xy-plane. Vector C is perpendicular to vector A, & the scalar product of C with B is 15.0. From this information, find the components of vector

    asked by Cathy on June 23, 2013
  2. Maths Vector Helpppp

    The points A and B have position vectors, relative to the origin O, given by −−→OA = i+2j+3k and −−→OB = 2i+j+3k. The line l has vector equation r = (1−2t)i+ (5+t)j+ (2−t)k. (i) Show that l does not intersect the

    asked by Ariana on January 19, 2015
  3. Vectors

    Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). (This means that addition does not distribute over the dot product.) Explain the problem that arises.

    asked by Adiana on February 23, 2015
  4. physics-vectors

    If the magnitude of the sum of two vectors is greater than the magnitude of either vector, then: If the magnitude of the sum of two vectors is less than the magnitude of either vector, then: a. the scaler product of the vectors

    asked by mekeke on August 6, 2007
  1. math vectors

    Use a specific example to prove that the cross product is also not associative. That is, use three specific vectors in 3-space to show that Vector a×(Vector b × Vector c) is not equal to (Vector a × Vector b) × Vector c. Can

    asked by Adiana on February 27, 2015
  2. Vectors

    Explain why it is not possible for Vector a • (Vector b • Vector c) to equal (Vector a • Vector b) • Vector c . (This means that the dot product is not associative.)

    asked by Adiana on February 23, 2015
  3. chemistry

    Vectors A B, and C satisfy the vector equation A+B=C and their magnitudes are related by the scalar equation A2+b2=C2. How is vector A oriented with respect to vector B. answer: is it vertors A & B must be at right angles to each

    asked by anonymous on February 6, 2007
  4. Vectors

    Verify using a specific example that (Vector a + Vector b) × (Vector a – Vector b) = 2(Vector b×Vector a). Expand to the general case to prove that the result is always true.

    asked by Adiana on February 23, 2015
  1. Physics

    You are given vectors A = 5.0i - 6.5j and B = -2.5i + 7.0j. A third vector C lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product of C with B is 15.0. Find the x and y components to vector C. Answer

    asked by Charles on August 30, 2014
  2. maths

    Let vector a and b be two non-null vectors such that |vector a +b| =|vector a-2b| then the values of |vector a| / |vector b| may be:

    asked by jha on June 27, 2014
  3. Calculus and vectors

    Vector AB is a vector whose tail is at (-4,2) and whose head is at (-1,3). Calculate the magnitude of vector AB Determine the coordinates of point D on vector CD, if C (-6,0) and vector CD= vector AB. Please I need some help. Is

    asked by Ted on February 5, 2013
  4. physics

    Suppose vector A=3i-2j, B= -i-4j and vector C are three vectors in xy plane with the property that vectors A+B-C. What is the unit vector along vector C?

    asked by Abdela said yimer on January 28, 2012

You can view more similar questions or ask a new question.