MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Vector Addition

If A =i+2j+2k...

Question

If A =(i+2j+2k) and B=(3i+j+k). Find the vector which when added to (A+B) will give a unit vector along the z-axis.

Open in App

Solution

Let the vector be $\to c$
According to question $\to c + (\to a + \to b) =^k (^k = u n i t v e c t o r a l o n g z - a x i s) \to c + (^i + 2^j + 2^k + 3^i +^j +^k) =^k \to c =^k - 4^i - 3^j - 3^k \to c = - 2^k - 4^i - 3^j$

Suggest Corrections

thumbs-up

0

Similar questions

Q. What vector when added to

(2^i - 2^j +^k)

(2^i -^k)

will give a unit vector along negative

y -

Q. Find a unit vector perpendicular to each of the vectors

\vec{a} + \vec{b} and \vec{a} - \vec{b}, where \vec{a} = 3 \hat{i} + 2 \hat{j} + 2 \hat{k} and \vec{b} = \hat{i} + 2 \hat{j} - 2 \hat{k} .

Q. Find a vector of magnitude

\sqrt{2}

units and coplanar with vectors

3 i - j - k

i + j - 2 k

and perpendicular to vector

2 i + 2 j + k

.

C

when added to vectors

A = 3 ˆ i - 5 ˆ j + ˆ k

B = 2 ˆ i + 3 ˆ j - 4 ˆ k

gives a unit vector along the y-axis. Then,

C

Q. Determine the vector which when added to the resultant

\to A = 2^i - 4^j - 6^k

\to B = 4^i + 3^j + 3^k

gives the unit vector along z-axis.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Basic Operations

PHYSICS

Watch in App

explore_more_icon

Explore more

Vector Addition

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon