ixambee.com
New Enroll in RBI Grade B New Batch - Starts on May 21

    • My Home
      • Dashboard
      • My Account
      • My Courses
      • My Performance
      • Packages
      • Logout
    • youtube Free Videos
      Youtube VideosLive Classes RBI Grade BLive Classes SEBI Grade ALive Classes IBPS PO & RRB
    • Previous Year Paper
    • Exams
    • Online Course
    • Free Mock Test
    • General Awareness
    • Daily Practice
    • All Courses
    • Private Jobs New
    • Testimonials
    ixambee mentorbee
    1. Home
    2. Questions
    3. Quantitative Aptitude
    4. Quant Miscellaneous
    5. Let a=i+j​+k, b=2i+j​−k, and c=a×b. The angle between c and a is:

    Question

    Let a=i+j​+k, b=2i+j​−k, and c=a×b. The angle

    between c and a is:
    A 0° Correct Answer Incorrect Answer
    B 45° Correct Answer Incorrect Answer
    C 60° Correct Answer Incorrect Answer
    D 90° Correct Answer Incorrect Answer

    Solution

    Given the vectors: a=i+j​+k b=2i+j​–k c=a×b First, let's find the cross-product c=a×b: Since the dot product a ⋅ c =0, the vectors a and c are orthogonal (perpendicular). Therefore, the angle θ between c and a is π/2 ​ or 90 degrees.

    Practice Next
      More Quant Miscellaneous Questions
    • A Nano Urea formulation, what nanomaterial is commonly used to encapsulate the urea?

    • The gradual increase in the concentration of nutrients in an aging  aquatic ecosystem such  as  a lake is called ____

    • Which part of small intestine receives the bile from Liver or Gall Bladder to break down fats? 

    • Alkalization also called:

    • Orobanche is _____ type of parasitic weed. 

    • Which branch of soil science focuses on the study of soil's influence on living organisms like plants and animals?

    • Which of the following is not a method of group communication?

    • Which weed classification involves plants that grow in wild as well as cultivated lands?

    • An acute or chronic inflammation of the mammary gland caused by physical, chemical and biological agents chiefly of bovines usually affecting the secret...

    • Which of the following is not a stem modification?

    Relevant for Exams:

    • AAI ATC JE

    Please Register/Login to Download Question

    I Pledged to:

    Please Enter Details

    call-back
    Please enter Name We'll never share your email with anyone else.
    Please enter Correct Mobile Number We'll never share your email with anyone else.

    Thank You

    +91-9205524028 Available Mon-Sat (10 AM to 7 PM)

    [email protected]

    © ATOZLEARN EDUTECH PRIVATE LIMITED All rights reserved.

    Update Address

    Please enter complete address
    Please enter pincode
    Please enter State
    Please enter City

    Download the app

    ×
    QR Code
    Get Started with ixamBee

    Start learning 50% faster. Sign in now

    Please enter Mobile Number or Email Please enter valid Mobile Number or Email
    Please enter Mobile Number Please enter valid Mobile Number
    Email id already Exists Please Enter valid Email Address
    Please enter Mobile Number or Email Please enter valid Mobile Number or Email
    Mobile Number id already Exists Please Enter valid Mobile Number
    Please enter valid OTP Mail sent on your email