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Find the component of a vector vec A = ...

Find the component of a vector ` vec A = 3 hat I + 4 hat j` along the direction of ` 2hat I -3 hat j`.

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To find the component of the vector \( \vec{A} = 3 \hat{i} + 4 \hat{j} \) along the direction of the vector \( \vec{B} = 2 \hat{i} - 3 \hat{j} \), we can follow these steps: ### Step 1: Find the unit vector of \( \vec{B} \) The unit vector \( \hat{B} \) in the direction of \( \vec{B} \) is given by: \[ \hat{B} = \frac{\vec{B}}{|\vec{B}|} \] ...
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Find the component of a vectro vec A = 3 hat I + 2 hat j along the direction of ( hat I + hat j)

Find the components of vector vec(a)=3hat(i)+4hat(j) along the direction of vectors hat(i)+hat(j) & hat(i)-hat(j)

Knowledge Check

  • Find the component of vector A = 2hati + 3 hat j along the direction (hati - hat j ) .

    A
    `-(1)/(2)(hati - hatj)`
    B
    `- (1)/(2)(hati + hatj)`
    C
    `(1)/(2)(hati - hatj)`
    D
    `(1)/(2)(hati + hatj)`

  • The component of vector A= 2hat(i)+3hat(j) along the vector hat(i)+hat(j) is

    A
    `5/(sqrt(2))`
    B
    `10sqrt(2)`
    C
    `5sqrt(2)`
    D
    5

  • The vector component of vector vec(A) = 3 hat(i) + 4 hat(j) + 5 hat(k) along vector vec(B) = hat(i) + hat(j) + hat(k) is

    A
    `2 hat (i) + 2 hat(j) + 2 hat(k)`
    B
    `3 hat (i) + 3 hat(j) + 3 hat(k)`
    C
    `4 hat (i) + 4 hat(j) + 4 hat(k)`
    D
    `5 hat (i) + 5 hat(j) + 5 hat(k)`

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    The component of the vector [barA = (2hat i + 3 hat j)] along the vector [bar B = (hat i + hat j)] is

    hat(i) and hat(j) are unit vectors along x-and y-axes respectively. What is the magnitude and the direction of the vectors hat(i)+hat(j) and hat(i)-hat(j) ? What are the components of a vector vec(A)=2hat(i)+3hat(j) along the direction hat(i)+hat(j) and hat(i)-hat(j) ?

    Find the scalr and vector products of two vectors vec a =(3 hat I - 4 hat j + 5 hat k) and vec b = (-2 hat I + hat j- 3 hat k).

    Find a unit vector parallel to the resultant of vectors vec A = 3 hat I + 3 hat j - 2 hat k and vec B= hat i- 5 hat j + hat k .

    The unit vector along vec(A)= 2 hat i + 3 hat j is :

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